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Finding the Fourth Proportional to 22,594.25, 31,179.87 and 12,523.25

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Solution

The fourth proportional to 22,594.25, 31,179.87 and 12,523.25 is: 17,281.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,594.25 : 31,179.87 = 12,523.25 : x
  2. Step 2: Convert to fraction form
    22,594.25/31,179.87 = 12,523.25/x
  3. Step 3: Cross multiply
    22,594.25x = 31,179.87 × 12,523.25
  4. Step 4: Simplify right side
    22,594.25x = 390,473,306.98
  5. Step 5: Solve for x
    x = 390,473,306.98/22,594.25
  6. Step 6: Final answer
    x = 17,281.98

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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.