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Finding the Fourth Proportional to 22,673.70, 31,289.22 and 13,114.89

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Solution

The fourth proportional to 22,673.70, 31,289.22 and 13,114.89 is: 18,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,673.70 : 31,289.22 = 13,114.89 : x
  2. Step 2: Convert to fraction form
    22,673.70/31,289.22 = 13,114.89/x
  3. Step 3: Cross multiply
    22,673.70x = 31,289.22 × 13,114.89
  4. Step 4: Simplify right side
    22,673.70x = 410,354,678.49
  5. Step 5: Solve for x
    x = 410,354,678.49/22,673.70
  6. Step 6: Final answer
    x = 18,098.27

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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.