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Finding the Fourth Proportional to 22,671.69, 34,007.49 and 6,031.74

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Solution

The fourth proportional to 22,671.69, 34,007.49 and 6,031.74 is: 9,047.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,671.69 : 34,007.49 = 6,031.74 : x
  2. Step 2: Convert to fraction form
    22,671.69/34,007.49 = 6,031.74/x
  3. Step 3: Cross multiply
    22,671.69x = 34,007.49 × 6,031.74
  4. Step 4: Simplify right side
    22,671.69x = 205,124,337.73
  5. Step 5: Solve for x
    x = 205,124,337.73/22,671.69
  6. Step 6: Final answer
    x = 9,047.60

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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.