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Finding the Fourth Proportional to 13,442.64, 18,553.80 and 7,781.28

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Solution

The fourth proportional to 13,442.64, 18,553.80 and 7,781.28 is: 10,739.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.64 : 18,553.80 = 7,781.28 : x
  2. Step 2: Convert to fraction form
    13,442.64/18,553.80 = 7,781.28/x
  3. Step 3: Cross multiply
    13,442.64x = 18,553.80 × 7,781.28
  4. Step 4: Simplify right side
    13,442.64x = 144,372,312.86
  5. Step 5: Solve for x
    x = 144,372,312.86/13,442.64
  6. Step 6: Final answer
    x = 10,739.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.