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Finding the Fourth Proportional to 42,712.64, 64,060.16 and 11,540.64

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Solution

The fourth proportional to 42,712.64, 64,060.16 and 11,540.64 is: 17,308.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,712.64 : 64,060.16 = 11,540.64 : x
  2. Step 2: Convert to fraction form
    42,712.64/64,060.16 = 11,540.64/x
  3. Step 3: Cross multiply
    42,712.64x = 64,060.16 × 11,540.64
  4. Step 4: Simplify right side
    42,712.64x = 739,295,244.90
  5. Step 5: Solve for x
    x = 739,295,244.90/42,712.64
  6. Step 6: Final answer
    x = 17,308.58

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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.