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Finding the Fourth Proportional to 21,456.60, 32,184.90 and 14,458.20

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Solution

The fourth proportional to 21,456.60, 32,184.90 and 14,458.20 is: 21,687.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,456.60 : 32,184.90 = 14,458.20 : x
  2. Step 2: Convert to fraction form
    21,456.60/32,184.90 = 14,458.20/x
  3. Step 3: Cross multiply
    21,456.60x = 32,184.90 × 14,458.20
  4. Step 4: Simplify right side
    21,456.60x = 465,335,721.18
  5. Step 5: Solve for x
    x = 465,335,721.18/21,456.60
  6. Step 6: Final answer
    x = 21,687.30

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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.