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Finding the Fourth Proportional to 22,425.68, 30,947.29 and 12,353.88

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Solution

The fourth proportional to 22,425.68, 30,947.29 and 12,353.88 is: 17,048.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,425.68 : 30,947.29 = 12,353.88 : x
  2. Step 2: Convert to fraction form
    22,425.68/30,947.29 = 12,353.88/x
  3. Step 3: Cross multiply
    22,425.68x = 30,947.29 × 12,353.88
  4. Step 4: Simplify right side
    22,425.68x = 382,319,226.90
  5. Step 5: Solve for x
    x = 382,319,226.90/22,425.68
  6. Step 6: Final answer
    x = 17,048.28

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1.5x scale

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.