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Finding the Fourth Proportional to 21,456.87, 32,176.67 and 7,414.71

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Solution

The fourth proportional to 21,456.87, 32,176.67 and 7,414.71 is: 11,119.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,456.87 : 32,176.67 = 7,414.71 : x
  2. Step 2: Convert to fraction form
    21,456.87/32,176.67 = 7,414.71/x
  3. Step 3: Cross multiply
    21,456.87x = 32,176.67 × 7,414.71
  4. Step 4: Simplify right side
    21,456.87x = 238,580,639.74
  5. Step 5: Solve for x
    x = 238,580,639.74/21,456.87
  6. Step 6: Final answer
    x = 11,119.08

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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.