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Finding the Fourth Proportional to 18,642.58, 25,727.42 and 10,686.31

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Solution

The fourth proportional to 18,642.58, 25,727.42 and 10,686.31 is: 14,747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.58 : 25,727.42 = 10,686.31 : x
  2. Step 2: Convert to fraction form
    18,642.58/25,727.42 = 10,686.31/x
  3. Step 3: Cross multiply
    18,642.58x = 25,727.42 × 10,686.31
  4. Step 4: Simplify right side
    18,642.58x = 274,931,148.02
  5. Step 5: Solve for x
    x = 274,931,148.02/18,642.58
  6. Step 6: Final answer
    x = 14,747.49

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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.