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Finding the Fourth Proportional to 21,572.28, 32,362.50 and 8,423.82

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Solution

The fourth proportional to 21,572.28, 32,362.50 and 8,423.82 is: 12,637.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,572.28 : 32,362.50 = 8,423.82 : x
  2. Step 2: Convert to fraction form
    21,572.28/32,362.50 = 8,423.82/x
  3. Step 3: Cross multiply
    21,572.28x = 32,362.50 × 8,423.82
  4. Step 4: Simplify right side
    21,572.28x = 272,615,874.75
  5. Step 5: Solve for x
    x = 272,615,874.75/21,572.28
  6. Step 6: Final answer
    x = 12,637.32

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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.