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Finding the Fourth Proportional to 15,713.91, 23,572.35 and 5,179.59

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Solution

The fourth proportional to 15,713.91, 23,572.35 and 5,179.59 is: 7,769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.91 : 23,572.35 = 5,179.59 : x
  2. Step 2: Convert to fraction form
    15,713.91/23,572.35 = 5,179.59/x
  3. Step 3: Cross multiply
    15,713.91x = 23,572.35 × 5,179.59
  4. Step 4: Simplify right side
    15,713.91x = 122,095,108.34
  5. Step 5: Solve for x
    x = 122,095,108.34/15,713.91
  6. Step 6: Final answer
    x = 7,769.87

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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.