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Finding the Fourth Proportional to 12,870.27, 17,761.41 and 7,565.00

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Solution

The fourth proportional to 12,870.27, 17,761.41 and 7,565.00 is: 10,439.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.27 : 17,761.41 = 7,565.00 : x
  2. Step 2: Convert to fraction form
    12,870.27/17,761.41 = 7,565.00/x
  3. Step 3: Cross multiply
    12,870.27x = 17,761.41 × 7,565.00
  4. Step 4: Simplify right side
    12,870.27x = 134,364,977.84
  5. Step 5: Solve for x
    x = 134,364,977.84/12,870.27
  6. Step 6: Final answer
    x = 10,439.95

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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.