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Finding the Fourth Proportional to 12,870.52, 17,757.30 and 7,565.56

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Solution

The fourth proportional to 12,870.52, 17,757.30 and 7,565.56 is: 10,438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.52 : 17,757.30 = 7,565.56 : x
  2. Step 2: Convert to fraction form
    12,870.52/17,757.30 = 7,565.56/x
  3. Step 3: Cross multiply
    12,870.52x = 17,757.30 × 7,565.56
  4. Step 4: Simplify right side
    12,870.52x = 134,343,918.59
  5. Step 5: Solve for x
    x = 134,343,918.59/12,870.52
  6. Step 6: Final answer
    x = 10,438.11

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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.