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Finding the Fourth Proportional to 18,488.32, 27,726.40 and 9,248

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Solution

The fourth proportional to 18,488.32, 27,726.40 and 9,248 is: 13,868.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,488.32 : 27,726.40 = 9,248 : x
  2. Step 2: Convert to fraction form
    18,488.32/27,726.40 = 9,248/x
  3. Step 3: Cross multiply
    18,488.32x = 27,726.40 × 9,248
  4. Step 4: Simplify right side
    18,488.32x = 256,413,747.20
  5. Step 5: Solve for x
    x = 256,413,747.20/18,488.32
  6. Step 6: Final answer
    x = 13,868.96

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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.