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Finding the Fourth Proportional to 21,681.92, 32,524.46 and 9,200.52

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Solution

The fourth proportional to 21,681.92, 32,524.46 and 9,200.52 is: 13,801.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,681.92 : 32,524.46 = 9,200.52 : x
  2. Step 2: Convert to fraction form
    21,681.92/32,524.46 = 9,200.52/x
  3. Step 3: Cross multiply
    21,681.92x = 32,524.46 × 9,200.52
  4. Step 4: Simplify right side
    21,681.92x = 299,241,898.72
  5. Step 5: Solve for x
    x = 299,241,898.72/21,681.92
  6. Step 6: Final answer
    x = 13,801.45

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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.