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Finding the Fourth Proportional to 15,921.92, 23,890.80 and 7,160

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Solution

The fourth proportional to 15,921.92, 23,890.80 and 7,160 is: 10,743.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,921.92 : 23,890.80 = 7,160 : x
  2. Step 2: Convert to fraction form
    15,921.92/23,890.80 = 7,160/x
  3. Step 3: Cross multiply
    15,921.92x = 23,890.80 × 7,160
  4. Step 4: Simplify right side
    15,921.92x = 171,058,128
  5. Step 5: Solve for x
    x = 171,058,128/15,921.92
  6. Step 6: Final answer
    x = 10,743.56

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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.