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Finding the Fourth Proportional to 19,691.16, 29,530.37 and 6,540

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Solution

The fourth proportional to 19,691.16, 29,530.37 and 6,540 is: 9,807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,691.16 : 29,530.37 = 6,540 : x
  2. Step 2: Convert to fraction form
    19,691.16/29,530.37 = 6,540/x
  3. Step 3: Cross multiply
    19,691.16x = 29,530.37 × 6,540
  4. Step 4: Simplify right side
    19,691.16x = 193,128,587.10
  5. Step 5: Solve for x
    x = 193,128,587.10/19,691.16
  6. Step 6: Final answer
    x = 9,807.88

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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.