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Finding the Fourth Proportional to 22,594.84, 31,180.80 and 12,658.84

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Solution

The fourth proportional to 22,594.84, 31,180.80 and 12,658.84 is: 17,469.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,594.84 : 31,180.80 = 12,658.84 : x
  2. Step 2: Convert to fraction form
    22,594.84/31,180.80 = 12,658.84/x
  3. Step 3: Cross multiply
    22,594.84x = 31,180.80 × 12,658.84
  4. Step 4: Simplify right side
    22,594.84x = 394,712,758.27
  5. Step 5: Solve for x
    x = 394,712,758.27/22,594.84
  6. Step 6: Final answer
    x = 17,469.15

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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.