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Finding the Fourth Proportional to 21,452.72, 32,177.52 and 7,221.29

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Solution

The fourth proportional to 21,452.72, 32,177.52 and 7,221.29 is: 10,831.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,452.72 : 32,177.52 = 7,221.29 : x
  2. Step 2: Convert to fraction form
    21,452.72/32,177.52 = 7,221.29/x
  3. Step 3: Cross multiply
    21,452.72x = 32,177.52 × 7,221.29
  4. Step 4: Simplify right side
    21,452.72x = 232,363,042.51
  5. Step 5: Solve for x
    x = 232,363,042.51/21,452.72
  6. Step 6: Final answer
    x = 10,831.40

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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.