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Finding the Fourth Proportional to 16,829.16, 25,248.42 and 7,342.31

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Solution

The fourth proportional to 16,829.16, 25,248.42 and 7,342.31 is: 11,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,829.16 : 25,248.42 = 7,342.31 : x
  2. Step 2: Convert to fraction form
    16,829.16/25,248.42 = 7,342.31/x
  3. Step 3: Cross multiply
    16,829.16x = 25,248.42 × 7,342.31
  4. Step 4: Simplify right side
    16,829.16x = 185,381,563.70
  5. Step 5: Solve for x
    x = 185,381,563.70/16,829.16
  6. Step 6: Final answer
    x = 11,015.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.