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Finding the Fourth Proportional to 14,160.96, 19,542.24 and 7,873.20

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Solution

The fourth proportional to 14,160.96, 19,542.24 and 7,873.20 is: 10,865.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,160.96 : 19,542.24 = 7,873.20 : x
  2. Step 2: Convert to fraction form
    14,160.96/19,542.24 = 7,873.20/x
  3. Step 3: Cross multiply
    14,160.96x = 19,542.24 × 7,873.20
  4. Step 4: Simplify right side
    14,160.96x = 153,859,963.97
  5. Step 5: Solve for x
    x = 153,859,963.97/14,160.96
  6. Step 6: Final answer
    x = 10,865.08

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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.