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Finding the Fourth Proportional to 23,191.72, 31,954.50 and 15,726.76

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Solution

The fourth proportional to 23,191.72, 31,954.50 and 15,726.76 is: 21,668.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,191.72 : 31,954.50 = 15,726.76 : x
  2. Step 2: Convert to fraction form
    23,191.72/31,954.50 = 15,726.76/x
  3. Step 3: Cross multiply
    23,191.72x = 31,954.50 × 15,726.76
  4. Step 4: Simplify right side
    23,191.72x = 502,540,752.42
  5. Step 5: Solve for x
    x = 502,540,752.42/23,191.72
  6. Step 6: Final answer
    x = 21,668.97

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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.