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Finding the Fourth Proportional to 22,979.51, 34,472.50 and 8,184.05

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Solution

The fourth proportional to 22,979.51, 34,472.50 and 8,184.05 is: 12,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,979.51 : 34,472.50 = 8,184.05 : x
  2. Step 2: Convert to fraction form
    22,979.51/34,472.50 = 8,184.05/x
  3. Step 3: Cross multiply
    22,979.51x = 34,472.50 × 8,184.05
  4. Step 4: Simplify right side
    22,979.51x = 282,124,470.80
  5. Step 5: Solve for x
    x = 282,124,470.80/22,979.51
  6. Step 6: Final answer
    x = 12,277.22

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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.