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Finding the Fourth Proportional to 24,377.60, 36,537 and 11,211.92

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Solution

The fourth proportional to 24,377.60, 36,537 and 11,211.92 is: 16,804.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,377.60 : 36,537 = 11,211.92 : x
  2. Step 2: Convert to fraction form
    24,377.60/36,537 = 11,211.92/x
  3. Step 3: Cross multiply
    24,377.60x = 36,537 × 11,211.92
  4. Step 4: Simplify right side
    24,377.60x = 409,649,921.04
  5. Step 5: Solve for x
    x = 409,649,921.04/24,377.60
  6. Step 6: Final answer
    x = 16,804.36

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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.