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Finding the Fourth Proportional to 18,176.64, 27,248.76 and 6,488.16

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Solution

The fourth proportional to 18,176.64, 27,248.76 and 6,488.16 is: 9,726.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,176.64 : 27,248.76 = 6,488.16 : x
  2. Step 2: Convert to fraction form
    18,176.64/27,248.76 = 6,488.16/x
  3. Step 3: Cross multiply
    18,176.64x = 27,248.76 × 6,488.16
  4. Step 4: Simplify right side
    18,176.64x = 176,794,314.68
  5. Step 5: Solve for x
    x = 176,794,314.68/18,176.64
  6. Step 6: Final answer
    x = 9,726.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.