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Finding the Fourth Proportional to 24,597.19, 36,902.13 and 11,434.15

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Solution

The fourth proportional to 24,597.19, 36,902.13 and 11,434.15 is: 17,154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,597.19 : 36,902.13 = 11,434.15 : x
  2. Step 2: Convert to fraction form
    24,597.19/36,902.13 = 11,434.15/x
  3. Step 3: Cross multiply
    24,597.19x = 36,902.13 × 11,434.15
  4. Step 4: Simplify right side
    24,597.19x = 421,944,489.74
  5. Step 5: Solve for x
    x = 421,944,489.74/24,597.19
  6. Step 6: Final answer
    x = 17,154.17

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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.