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Finding the Fourth Proportional to 22,626, 31,223.52 and 13,673.52

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Solution

The fourth proportional to 22,626, 31,223.52 and 13,673.52 is: 18,869.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,626 : 31,223.52 = 13,673.52 : x
  2. Step 2: Convert to fraction form
    22,626/31,223.52 = 13,673.52/x
  3. Step 3: Cross multiply
    22,626x = 31,223.52 × 13,673.52
  4. Step 4: Simplify right side
    22,626x = 426,935,425.19
  5. Step 5: Solve for x
    x = 426,935,425.19/22,626
  6. Step 6: Final answer
    x = 18,869.24

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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.