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Finding the Fourth Proportional to 22,691.76, 31,312.81 and 12,620.22

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Solution

The fourth proportional to 22,691.76, 31,312.81 and 12,620.22 is: 17,414.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,691.76 : 31,312.81 = 12,620.22 : x
  2. Step 2: Convert to fraction form
    22,691.76/31,312.81 = 12,620.22/x
  3. Step 3: Cross multiply
    22,691.76x = 31,312.81 × 12,620.22
  4. Step 4: Simplify right side
    22,691.76x = 395,174,551.02
  5. Step 5: Solve for x
    x = 395,174,551.02/22,691.76
  6. Step 6: Final answer
    x = 17,414.89

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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.