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Finding the Fourth Proportional to 15,829.92, 23,740.56 and 8,801.28

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Solution

The fourth proportional to 15,829.92, 23,740.56 and 8,801.28 is: 13,199.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,829.92 : 23,740.56 = 8,801.28 : x
  2. Step 2: Convert to fraction form
    15,829.92/23,740.56 = 8,801.28/x
  3. Step 3: Cross multiply
    15,829.92x = 23,740.56 × 8,801.28
  4. Step 4: Simplify right side
    15,829.92x = 208,947,315.92
  5. Step 5: Solve for x
    x = 208,947,315.92/15,829.92
  6. Step 6: Final answer
    x = 13,199.52

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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.