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Finding the Fourth Proportional to 23,189.72, 31,951.74 and 15,724.76

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Solution

The fourth proportional to 23,189.72, 31,951.74 and 15,724.76 is: 21,666.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,189.72 : 31,951.74 = 15,724.76 : x
  2. Step 2: Convert to fraction form
    23,189.72/31,951.74 = 15,724.76/x
  3. Step 3: Cross multiply
    23,189.72x = 31,951.74 × 15,724.76
  4. Step 4: Simplify right side
    23,189.72x = 502,433,443.08
  5. Step 5: Solve for x
    x = 502,433,443.08/23,189.72
  6. Step 6: Final answer
    x = 21,666.21

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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.