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Finding the Fourth Proportional to 22,815.90, 34,225.07 and 7,234.74

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Solution

The fourth proportional to 22,815.90, 34,225.07 and 7,234.74 is: 10,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,815.90 : 34,225.07 = 7,234.74 : x
  2. Step 2: Convert to fraction form
    22,815.90/34,225.07 = 7,234.74/x
  3. Step 3: Cross multiply
    22,815.90x = 34,225.07 × 7,234.74
  4. Step 4: Simplify right side
    22,815.90x = 247,609,446.76
  5. Step 5: Solve for x
    x = 247,609,446.76/22,815.90
  6. Step 6: Final answer
    x = 10,852.50

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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.