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Finding the Fourth Proportional to 21,712, 32,545.26 and 10,032.88

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Solution

The fourth proportional to 21,712, 32,545.26 and 10,032.88 is: 15,038.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,712 : 32,545.26 = 10,032.88 : x
  2. Step 2: Convert to fraction form
    21,712/32,545.26 = 10,032.88/x
  3. Step 3: Cross multiply
    21,712x = 32,545.26 × 10,032.88
  4. Step 4: Simplify right side
    21,712x = 326,522,688.15
  5. Step 5: Solve for x
    x = 326,522,688.15/21,712
  6. Step 6: Final answer
    x = 15,038.81

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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.