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Finding the Fourth Proportional to 22,034, 33,029.13 and 12,177.92

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Solution

The fourth proportional to 22,034, 33,029.13 and 12,177.92 is: 18,254.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,034 : 33,029.13 = 12,177.92 : x
  2. Step 2: Convert to fraction form
    22,034/33,029.13 = 12,177.92/x
  3. Step 3: Cross multiply
    22,034x = 33,029.13 × 12,177.92
  4. Step 4: Simplify right side
    22,034x = 402,226,102.81
  5. Step 5: Solve for x
    x = 402,226,102.81/22,034
  6. Step 6: Final answer
    x = 18,254.79

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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.