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Finding the Fourth Proportional to 24,344.47, 36,522.17 and 7,705.49

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Solution

The fourth proportional to 24,344.47, 36,522.17 and 7,705.49 is: 11,559.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,344.47 : 36,522.17 = 7,705.49 : x
  2. Step 2: Convert to fraction form
    24,344.47/36,522.17 = 7,705.49/x
  3. Step 3: Cross multiply
    24,344.47x = 36,522.17 × 7,705.49
  4. Step 4: Simplify right side
    24,344.47x = 281,421,177.19
  5. Step 5: Solve for x
    x = 281,421,177.19/24,344.47
  6. Step 6: Final answer
    x = 11,559.97

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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.