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Finding the Fourth Proportional to 22,443.75, 30,972.38 and 13,012.92

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Solution

The fourth proportional to 22,443.75, 30,972.38 and 13,012.92 is: 17,957.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,443.75 : 30,972.38 = 13,012.92 : x
  2. Step 2: Convert to fraction form
    22,443.75/30,972.38 = 13,012.92/x
  3. Step 3: Cross multiply
    22,443.75x = 30,972.38 × 13,012.92
  4. Step 4: Simplify right side
    22,443.75x = 403,041,038.09
  5. Step 5: Solve for x
    x = 403,041,038.09/22,443.75
  6. Step 6: Final answer
    x = 17,957.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.