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Finding the Fourth Proportional to 22,496.92, 31,045.14 and 12,425.08

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Solution

The fourth proportional to 22,496.92, 31,045.14 and 12,425.08 is: 17,146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,496.92 : 31,045.14 = 12,425.08 : x
  2. Step 2: Convert to fraction form
    22,496.92/31,045.14 = 12,425.08/x
  3. Step 3: Cross multiply
    22,496.92x = 31,045.14 × 12,425.08
  4. Step 4: Simplify right side
    22,496.92x = 385,738,348.11
  5. Step 5: Solve for x
    x = 385,738,348.11/22,496.92
  6. Step 6: Final answer
    x = 17,146.27

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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.