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Finding the Fourth Proportional to 22,177.54, 33,253.89 and 9,014.50

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Solution

The fourth proportional to 22,177.54, 33,253.89 and 9,014.50 is: 13,516.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,177.54 : 33,253.89 = 9,014.50 : x
  2. Step 2: Convert to fraction form
    22,177.54/33,253.89 = 9,014.50/x
  3. Step 3: Cross multiply
    22,177.54x = 33,253.89 × 9,014.50
  4. Step 4: Simplify right side
    22,177.54x = 299,767,191.41
  5. Step 5: Solve for x
    x = 299,767,191.41/22,177.54
  6. Step 6: Final answer
    x = 13,516.70

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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.