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Finding the Fourth Proportional to 24,094.30, 36,120.66 and 11,597.13

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Solution

The fourth proportional to 24,094.30, 36,120.66 and 11,597.13 is: 17,385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,094.30 : 36,120.66 = 11,597.13 : x
  2. Step 2: Convert to fraction form
    24,094.30/36,120.66 = 11,597.13/x
  3. Step 3: Cross multiply
    24,094.30x = 36,120.66 × 11,597.13
  4. Step 4: Simplify right side
    24,094.30x = 418,895,989.71
  5. Step 5: Solve for x
    x = 418,895,989.71/24,094.30
  6. Step 6: Final answer
    x = 17,385.69

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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.