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Finding the Fourth Proportional to 21,681.90, 32,515.08 and 9,202.78

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Solution

The fourth proportional to 21,681.90, 32,515.08 and 9,202.78 is: 13,800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,681.90 : 32,515.08 = 9,202.78 : x
  2. Step 2: Convert to fraction form
    21,681.90/32,515.08 = 9,202.78/x
  3. Step 3: Cross multiply
    21,681.90x = 32,515.08 × 9,202.78
  4. Step 4: Simplify right side
    21,681.90x = 299,229,127.92
  5. Step 5: Solve for x
    x = 299,229,127.92/21,681.90
  6. Step 6: Final answer
    x = 13,800.87

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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.