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Finding the Fourth Proportional to 22,881.29, 31,576.03 and 12,809.68

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Solution

The fourth proportional to 22,881.29, 31,576.03 and 12,809.68 is: 17,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,881.29 : 31,576.03 = 12,809.68 : x
  2. Step 2: Convert to fraction form
    22,881.29/31,576.03 = 12,809.68/x
  3. Step 3: Cross multiply
    22,881.29x = 31,576.03 × 12,809.68
  4. Step 4: Simplify right side
    22,881.29x = 404,478,729.01
  5. Step 5: Solve for x
    x = 404,478,729.01/22,881.29
  6. Step 6: Final answer
    x = 17,677.27

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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.