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Finding the Fourth Proportional to 23,854.74, 32,920.57 and 13,244.38

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Solution

The fourth proportional to 23,854.74, 32,920.57 and 13,244.38 is: 18,277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,854.74 : 32,920.57 = 13,244.38 : x
  2. Step 2: Convert to fraction form
    23,854.74/32,920.57 = 13,244.38/x
  3. Step 3: Cross multiply
    23,854.74x = 32,920.57 × 13,244.38
  4. Step 4: Simplify right side
    23,854.74x = 436,012,407.40
  5. Step 5: Solve for x
    x = 436,012,407.40/23,854.74
  6. Step 6: Final answer
    x = 18,277.81

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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.