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Finding the Fourth Proportional to 22,952.78, 34,429.16 and 8,162.28

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Solution

The fourth proportional to 22,952.78, 34,429.16 and 8,162.28 is: 12,243.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952.78 : 34,429.16 = 8,162.28 : x
  2. Step 2: Convert to fraction form
    22,952.78/34,429.16 = 8,162.28/x
  3. Step 3: Cross multiply
    22,952.78x = 34,429.16 × 8,162.28
  4. Step 4: Simplify right side
    22,952.78x = 281,020,444.08
  5. Step 5: Solve for x
    x = 281,020,444.08/22,952.78
  6. Step 6: Final answer
    x = 12,243.42

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1.5x scale

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.