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Finding the Fourth Proportional to 21,422.52, 32,140.80 and 13,515.90

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Solution

The fourth proportional to 21,422.52, 32,140.80 and 13,515.90 is: 20,278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,422.52 : 32,140.80 = 13,515.90 : x
  2. Step 2: Convert to fraction form
    21,422.52/32,140.80 = 13,515.90/x
  3. Step 3: Cross multiply
    21,422.52x = 32,140.80 × 13,515.90
  4. Step 4: Simplify right side
    21,422.52x = 434,411,838.72
  5. Step 5: Solve for x
    x = 434,411,838.72/21,422.52
  6. Step 6: Final answer
    x = 20,278.28

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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.