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Finding the Fourth Proportional to 22,658.69, 33,970.03 and 8,615.87

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Solution

The fourth proportional to 22,658.69, 33,970.03 and 8,615.87 is: 12,916.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.69 : 33,970.03 = 8,615.87 : x
  2. Step 2: Convert to fraction form
    22,658.69/33,970.03 = 8,615.87/x
  3. Step 3: Cross multiply
    22,658.69x = 33,970.03 × 8,615.87
  4. Step 4: Simplify right side
    22,658.69x = 292,681,346.84
  5. Step 5: Solve for x
    x = 292,681,346.84/22,658.69
  6. Step 6: Final answer
    x = 12,916.96

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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.