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Finding the Fourth Proportional to 12,691.28, 17,502.53 and 8,210.36

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Solution

The fourth proportional to 12,691.28, 17,502.53 and 8,210.36 is: 11,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691.28 : 17,502.53 = 8,210.36 : x
  2. Step 2: Convert to fraction form
    12,691.28/17,502.53 = 8,210.36/x
  3. Step 3: Cross multiply
    12,691.28x = 17,502.53 × 8,210.36
  4. Step 4: Simplify right side
    12,691.28x = 143,702,121.10
  5. Step 5: Solve for x
    x = 143,702,121.10/12,691.28
  6. Step 6: Final answer
    x = 11,322.90

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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.