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Finding the Fourth Proportional to 24,537.80, 36,793.26 and 7,666.17

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Solution

The fourth proportional to 24,537.80, 36,793.26 and 7,666.17 is: 11,495.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,537.80 : 36,793.26 = 7,666.17 : x
  2. Step 2: Convert to fraction form
    24,537.80/36,793.26 = 7,666.17/x
  3. Step 3: Cross multiply
    24,537.80x = 36,793.26 × 7,666.17
  4. Step 4: Simplify right side
    24,537.80x = 282,063,386.01
  5. Step 5: Solve for x
    x = 282,063,386.01/24,537.80
  6. Step 6: Final answer
    x = 11,495.06

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