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Finding the Fourth Proportional to 19,728.64, 29,592.66 and 5,877.64

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Solution

The fourth proportional to 19,728.64, 29,592.66 and 5,877.64 is: 8,816.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,728.64 : 29,592.66 = 5,877.64 : x
  2. Step 2: Convert to fraction form
    19,728.64/29,592.66 = 5,877.64/x
  3. Step 3: Cross multiply
    19,728.64x = 29,592.66 × 5,877.64
  4. Step 4: Simplify right side
    19,728.64x = 173,935,002.12
  5. Step 5: Solve for x
    x = 173,935,002.12/19,728.64
  6. Step 6: Final answer
    x = 8,816.37

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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.