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Finding the Fourth Proportional to 12,854.50, 19,281.85 and 8,415.90

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Solution

The fourth proportional to 12,854.50, 19,281.85 and 8,415.90 is: 12,623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.50 : 19,281.85 = 8,415.90 : x
  2. Step 2: Convert to fraction form
    12,854.50/19,281.85 = 8,415.90/x
  3. Step 3: Cross multiply
    12,854.50x = 19,281.85 × 8,415.90
  4. Step 4: Simplify right side
    12,854.50x = 162,274,121.42
  5. Step 5: Solve for x
    x = 162,274,121.42/12,854.50
  6. Step 6: Final answer
    x = 12,623.92

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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.