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Finding the Fourth Proportional to 24,553.53, 36,828.14 and 10,509.21

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Solution

The fourth proportional to 24,553.53, 36,828.14 and 10,509.21 is: 15,762.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,553.53 : 36,828.14 = 10,509.21 : x
  2. Step 2: Convert to fraction form
    24,553.53/36,828.14 = 10,509.21/x
  3. Step 3: Cross multiply
    24,553.53x = 36,828.14 × 10,509.21
  4. Step 4: Simplify right side
    24,553.53x = 387,034,604.62
  5. Step 5: Solve for x
    x = 387,034,604.62/24,553.53
  6. Step 6: Final answer
    x = 15,762.89

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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.