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Finding the Fourth Proportional to 22,846, 34,281.96 and 10,534

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Solution

The fourth proportional to 22,846, 34,281.96 and 10,534 is: 15,806.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846 : 34,281.96 = 10,534 : x
  2. Step 2: Convert to fraction form
    22,846/34,281.96 = 10,534/x
  3. Step 3: Cross multiply
    22,846x = 34,281.96 × 10,534
  4. Step 4: Simplify right side
    22,846x = 361,126,166.64
  5. Step 5: Solve for x
    x = 361,126,166.64/22,846
  6. Step 6: Final answer
    x = 15,806.98

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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.