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Finding the Fourth Proportional to 12,870.57, 17,760.15 and 7,204.87

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Solution

The fourth proportional to 12,870.57, 17,760.15 and 7,204.87 is: 9,942.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.57 : 17,760.15 = 7,204.87 : x
  2. Step 2: Convert to fraction form
    12,870.57/17,760.15 = 7,204.87/x
  3. Step 3: Cross multiply
    12,870.57x = 17,760.15 × 7,204.87
  4. Step 4: Simplify right side
    12,870.57x = 127,959,633.95
  5. Step 5: Solve for x
    x = 127,959,633.95/12,870.57
  6. Step 6: Final answer
    x = 9,942.03

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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.