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Finding the Fourth Proportional to 15,829.92, 23,753.01 and 7,070.58

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Solution

The fourth proportional to 15,829.92, 23,753.01 and 7,070.58 is: 10,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,829.92 : 23,753.01 = 7,070.58 : x
  2. Step 2: Convert to fraction form
    15,829.92/23,753.01 = 7,070.58/x
  3. Step 3: Cross multiply
    15,829.92x = 23,753.01 × 7,070.58
  4. Step 4: Simplify right side
    15,829.92x = 167,947,557.45
  5. Step 5: Solve for x
    x = 167,947,557.45/15,829.92
  6. Step 6: Final answer
    x = 10,609.50

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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.