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Finding the Fourth Proportional to 22,812.24, 34,220.52 and 8,958

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Solution

The fourth proportional to 22,812.24, 34,220.52 and 8,958 is: 13,437.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,812.24 : 34,220.52 = 8,958 : x
  2. Step 2: Convert to fraction form
    22,812.24/34,220.52 = 8,958/x
  3. Step 3: Cross multiply
    22,812.24x = 34,220.52 × 8,958
  4. Step 4: Simplify right side
    22,812.24x = 306,547,418.16
  5. Step 5: Solve for x
    x = 306,547,418.16/22,812.24
  6. Step 6: Final answer
    x = 13,437.85

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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.