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Finding the Fourth Proportional to 12,729.29, 17,565.95 and 7,139.93

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Solution

The fourth proportional to 12,729.29, 17,565.95 and 7,139.93 is: 9,852.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729.29 : 17,565.95 = 7,139.93 : x
  2. Step 2: Convert to fraction form
    12,729.29/17,565.95 = 7,139.93/x
  3. Step 3: Cross multiply
    12,729.29x = 17,565.95 × 7,139.93
  4. Step 4: Simplify right side
    12,729.29x = 125,419,617.68
  5. Step 5: Solve for x
    x = 125,419,617.68/12,729.29
  6. Step 6: Final answer
    x = 9,852.84

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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.