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Finding the Fourth Proportional to 12,686.32, 17,523.86 and 9,738.58

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Solution

The fourth proportional to 12,686.32, 17,523.86 and 9,738.58 is: 13,452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.32 : 17,523.86 = 9,738.58 : x
  2. Step 2: Convert to fraction form
    12,686.32/17,523.86 = 9,738.58/x
  3. Step 3: Cross multiply
    12,686.32x = 17,523.86 × 9,738.58
  4. Step 4: Simplify right side
    12,686.32x = 170,657,512.52
  5. Step 5: Solve for x
    x = 170,657,512.52/12,686.32
  6. Step 6: Final answer
    x = 13,452.09

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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.