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Finding the Fourth Proportional to 22,698.50, 31,324.20 and 13,265.24

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Solution

The fourth proportional to 22,698.50, 31,324.20 and 13,265.24 is: 18,306.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,698.50 : 31,324.20 = 13,265.24 : x
  2. Step 2: Convert to fraction form
    22,698.50/31,324.20 = 13,265.24/x
  3. Step 3: Cross multiply
    22,698.50x = 31,324.20 × 13,265.24
  4. Step 4: Simplify right side
    22,698.50x = 415,523,030.81
  5. Step 5: Solve for x
    x = 415,523,030.81/22,698.50
  6. Step 6: Final answer
    x = 18,306.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.