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Finding the Fourth Proportional to 21,386, 32,092.84 and 11,532.16

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Solution

The fourth proportional to 21,386, 32,092.84 and 11,532.16 is: 17,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,386 : 32,092.84 = 11,532.16 : x
  2. Step 2: Convert to fraction form
    21,386/32,092.84 = 11,532.16/x
  3. Step 3: Cross multiply
    21,386x = 32,092.84 × 11,532.16
  4. Step 4: Simplify right side
    21,386x = 370,099,765.73
  5. Step 5: Solve for x
    x = 370,099,765.73/21,386
  6. Step 6: Final answer
    x = 17,305.70

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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.