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Finding the Fourth Proportional to 24,177.53, 36,257.06 and 9,384.53

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Solution

The fourth proportional to 24,177.53, 36,257.06 and 9,384.53 is: 14,073.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,177.53 : 36,257.06 = 9,384.53 : x
  2. Step 2: Convert to fraction form
    24,177.53/36,257.06 = 9,384.53/x
  3. Step 3: Cross multiply
    24,177.53x = 36,257.06 × 9,384.53
  4. Step 4: Simplify right side
    24,177.53x = 340,255,581.39
  5. Step 5: Solve for x
    x = 340,255,581.39/24,177.53
  6. Step 6: Final answer
    x = 14,073.21

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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.