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Finding the Fourth Proportional to 12,686.64, 17,501.61 and 8,439.78

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Solution

The fourth proportional to 12,686.64, 17,501.61 and 8,439.78 is: 11,642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.64 : 17,501.61 = 8,439.78 : x
  2. Step 2: Convert to fraction form
    12,686.64/17,501.61 = 8,439.78/x
  3. Step 3: Cross multiply
    12,686.64x = 17,501.61 × 8,439.78
  4. Step 4: Simplify right side
    12,686.64x = 147,709,738.05
  5. Step 5: Solve for x
    x = 147,709,738.05/12,686.64
  6. Step 6: Final answer
    x = 11,642.94

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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.