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Finding the Fourth Proportional to 12,471.30, 17,209.53 and 7,164.18

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Solution

The fourth proportional to 12,471.30, 17,209.53 and 7,164.18 is: 9,886.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.30 : 17,209.53 = 7,164.18 : x
  2. Step 2: Convert to fraction form
    12,471.30/17,209.53 = 7,164.18/x
  3. Step 3: Cross multiply
    12,471.30x = 17,209.53 × 7,164.18
  4. Step 4: Simplify right side
    12,471.30x = 123,292,170.64
  5. Step 5: Solve for x
    x = 123,292,170.64/12,471.30
  6. Step 6: Final answer
    x = 9,886.07

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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.