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Finding the Fourth Proportional to 17,726.32, 24,449.88 and 15,238

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Solution

The fourth proportional to 17,726.32, 24,449.88 and 15,238 is: 21,017.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,726.32 : 24,449.88 = 15,238 : x
  2. Step 2: Convert to fraction form
    17,726.32/24,449.88 = 15,238/x
  3. Step 3: Cross multiply
    17,726.32x = 24,449.88 × 15,238
  4. Step 4: Simplify right side
    17,726.32x = 372,567,271.44
  5. Step 5: Solve for x
    x = 372,567,271.44/17,726.32
  6. Step 6: Final answer
    x = 21,017.74

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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.