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Finding the Fourth Proportional to 21,240.14, 31,862.04 and 5,657.78

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Solution

The fourth proportional to 21,240.14, 31,862.04 and 5,657.78 is: 8,487.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,240.14 : 31,862.04 = 5,657.78 : x
  2. Step 2: Convert to fraction form
    21,240.14/31,862.04 = 5,657.78/x
  3. Step 3: Cross multiply
    21,240.14x = 31,862.04 × 5,657.78
  4. Step 4: Simplify right side
    21,240.14x = 180,268,412.67
  5. Step 5: Solve for x
    x = 180,268,412.67/21,240.14
  6. Step 6: Final answer
    x = 8,487.16

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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.