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Finding the Fourth Proportional to 20,864.64, 31,353.28 and 19,536

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Solution

The fourth proportional to 20,864.64, 31,353.28 and 19,536 is: 29,356.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,864.64 : 31,353.28 = 19,536 : x
  2. Step 2: Convert to fraction form
    20,864.64/31,353.28 = 19,536/x
  3. Step 3: Cross multiply
    20,864.64x = 31,353.28 × 19,536
  4. Step 4: Simplify right side
    20,864.64x = 612,517,678.08
  5. Step 5: Solve for x
    x = 612,517,678.08/20,864.64
  6. Step 6: Final answer
    x = 29,356.73

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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.