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Finding the Fourth Proportional to 24,097.86, 36,131.34 and 11,592.98

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Solution

The fourth proportional to 24,097.86, 36,131.34 and 11,592.98 is: 17,382.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,097.86 : 36,131.34 = 11,592.98 : x
  2. Step 2: Convert to fraction form
    24,097.86/36,131.34 = 11,592.98/x
  3. Step 3: Cross multiply
    24,097.86x = 36,131.34 × 11,592.98
  4. Step 4: Simplify right side
    24,097.86x = 418,869,901.99
  5. Step 5: Solve for x
    x = 418,869,901.99/24,097.86
  6. Step 6: Final answer
    x = 17,382.04

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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.