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Finding the Fourth Proportional to 12,870.52, 17,761.66 and 7,205.24

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Solution

The fourth proportional to 12,870.52, 17,761.66 and 7,205.24 is: 9,943.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.52 : 17,761.66 = 7,205.24 : x
  2. Step 2: Convert to fraction form
    12,870.52/17,761.66 = 7,205.24/x
  3. Step 3: Cross multiply
    12,870.52x = 17,761.66 × 7,205.24
  4. Step 4: Simplify right side
    12,870.52x = 127,977,023.10
  5. Step 5: Solve for x
    x = 127,977,023.10/12,870.52
  6. Step 6: Final answer
    x = 9,943.42

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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.