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Finding the Fourth Proportional to 12,870.44, 17,761.17 and 7,568.30

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Solution

The fourth proportional to 12,870.44, 17,761.17 and 7,568.30 is: 10,444.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.44 : 17,761.17 = 7,568.30 : x
  2. Step 2: Convert to fraction form
    12,870.44/17,761.17 = 7,568.30/x
  3. Step 3: Cross multiply
    12,870.44x = 17,761.17 × 7,568.30
  4. Step 4: Simplify right side
    12,870.44x = 134,421,862.91
  5. Step 5: Solve for x
    x = 134,421,862.91/12,870.44
  6. Step 6: Final answer
    x = 10,444.23

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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.