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Finding the Fourth Proportional to 12,675.66, 17,482.14 and 9,686.76

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Solution

The fourth proportional to 12,675.66, 17,482.14 and 9,686.76 is: 13,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675.66 : 17,482.14 = 9,686.76 : x
  2. Step 2: Convert to fraction form
    12,675.66/17,482.14 = 9,686.76/x
  3. Step 3: Cross multiply
    12,675.66x = 17,482.14 × 9,686.76
  4. Step 4: Simplify right side
    12,675.66x = 169,345,294.47
  5. Step 5: Solve for x
    x = 169,345,294.47/12,675.66
  6. Step 6: Final answer
    x = 13,359.88

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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.