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Finding the Fourth Proportional to 21,456.80, 32,185.20 and 14,458.40

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Solution

The fourth proportional to 21,456.80, 32,185.20 and 14,458.40 is: 21,687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,456.80 : 32,185.20 = 14,458.40 : x
  2. Step 2: Convert to fraction form
    21,456.80/32,185.20 = 14,458.40/x
  3. Step 3: Cross multiply
    21,456.80x = 32,185.20 × 14,458.40
  4. Step 4: Simplify right side
    21,456.80x = 465,346,495.68
  5. Step 5: Solve for x
    x = 465,346,495.68/21,456.80
  6. Step 6: Final answer
    x = 21,687.60

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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.