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Finding the Fourth Proportional to 11,415.80, 17,123.70 and 8,281.10

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Solution

The fourth proportional to 11,415.80, 17,123.70 and 8,281.10 is: 12,421.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.80 : 17,123.70 = 8,281.10 : x
  2. Step 2: Convert to fraction form
    11,415.80/17,123.70 = 8,281.10/x
  3. Step 3: Cross multiply
    11,415.80x = 17,123.70 × 8,281.10
  4. Step 4: Simplify right side
    11,415.80x = 141,803,072.07
  5. Step 5: Solve for x
    x = 141,803,072.07/11,415.80
  6. Step 6: Final answer
    x = 12,421.65

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.