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Finding the Fourth Proportional to 21,743.60, 32,577.60 and 10,032.80

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Solution

The fourth proportional to 21,743.60, 32,577.60 and 10,032.80 is: 15,031.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,743.60 : 32,577.60 = 10,032.80 : x
  2. Step 2: Convert to fraction form
    21,743.60/32,577.60 = 10,032.80/x
  3. Step 3: Cross multiply
    21,743.60x = 32,577.60 × 10,032.80
  4. Step 4: Simplify right side
    21,743.60x = 326,844,545.28
  5. Step 5: Solve for x
    x = 326,844,545.28/21,743.60
  6. Step 6: Final answer
    x = 15,031.76

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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.