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Finding the Fourth Proportional to 21,567.39, 32,359.32 and 8,428.92

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Solution

The fourth proportional to 21,567.39, 32,359.32 and 8,428.92 is: 12,646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,567.39 : 32,359.32 = 8,428.92 : x
  2. Step 2: Convert to fraction form
    21,567.39/32,359.32 = 8,428.92/x
  3. Step 3: Cross multiply
    21,567.39x = 32,359.32 × 8,428.92
  4. Step 4: Simplify right side
    21,567.39x = 272,754,119.53
  5. Step 5: Solve for x
    x = 272,754,119.53/21,567.39
  6. Step 6: Final answer
    x = 12,646.60

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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.