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Finding the Fourth Proportional to 24,506.55, 33,815.52 and 13,894.13

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Solution

The fourth proportional to 24,506.55, 33,815.52 and 13,894.13 is: 19,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506.55 : 33,815.52 = 13,894.13 : x
  2. Step 2: Convert to fraction form
    24,506.55/33,815.52 = 13,894.13/x
  3. Step 3: Cross multiply
    24,506.55x = 33,815.52 × 13,894.13
  4. Step 4: Simplify right side
    24,506.55x = 469,837,061.82
  5. Step 5: Solve for x
    x = 469,837,061.82/24,506.55
  6. Step 6: Final answer
    x = 19,171.90

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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.