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Finding the Fourth Proportional to 11,835.98, 17,766.23 and 8,719.50

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Solution

The fourth proportional to 11,835.98, 17,766.23 and 8,719.50 is: 13,088.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835.98 : 17,766.23 = 8,719.50 : x
  2. Step 2: Convert to fraction form
    11,835.98/17,766.23 = 8,719.50/x
  3. Step 3: Cross multiply
    11,835.98x = 17,766.23 × 8,719.50
  4. Step 4: Simplify right side
    11,835.98x = 154,912,642.49
  5. Step 5: Solve for x
    x = 154,912,642.49/11,835.98
  6. Step 6: Final answer
    x = 13,088.28

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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.