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Finding the Fourth Proportional to 22,834.89, 31,512.21 and 12,898.89

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Solution

The fourth proportional to 22,834.89, 31,512.21 and 12,898.89 is: 17,800.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,834.89 : 31,512.21 = 12,898.89 : x
  2. Step 2: Convert to fraction form
    22,834.89/31,512.21 = 12,898.89/x
  3. Step 3: Cross multiply
    22,834.89x = 31,512.21 × 12,898.89
  4. Step 4: Simplify right side
    22,834.89x = 406,472,530.45
  5. Step 5: Solve for x
    x = 406,472,530.45/22,834.89
  6. Step 6: Final answer
    x = 17,800.50

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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.