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Finding the Fourth Proportional to 12,686.12, 17,497.02 and 9,694.52

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Solution

The fourth proportional to 12,686.12, 17,497.02 and 9,694.52 is: 13,370.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.12 : 17,497.02 = 9,694.52 : x
  2. Step 2: Convert to fraction form
    12,686.12/17,497.02 = 9,694.52/x
  3. Step 3: Cross multiply
    12,686.12x = 17,497.02 × 9,694.52
  4. Step 4: Simplify right side
    12,686.12x = 169,625,210.33
  5. Step 5: Solve for x
    x = 169,625,210.33/12,686.12
  6. Step 6: Final answer
    x = 13,370.93

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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.