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Finding the Fourth Proportional to 22,729.50, 34,095.47 and 7,148.34

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Solution

The fourth proportional to 22,729.50, 34,095.47 and 7,148.34 is: 10,722.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,729.50 : 34,095.47 = 7,148.34 : x
  2. Step 2: Convert to fraction form
    22,729.50/34,095.47 = 7,148.34/x
  3. Step 3: Cross multiply
    22,729.50x = 34,095.47 × 7,148.34
  4. Step 4: Simplify right side
    22,729.50x = 243,725,976.28
  5. Step 5: Solve for x
    x = 243,725,976.28/22,729.50
  6. Step 6: Final answer
    x = 10,722.89

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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.