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Finding the Fourth Proportional to 24,894.12, 34,340.73 and 14,815.38

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Solution

The fourth proportional to 24,894.12, 34,340.73 and 14,815.38 is: 20,437.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,894.12 : 34,340.73 = 14,815.38 : x
  2. Step 2: Convert to fraction form
    24,894.12/34,340.73 = 14,815.38/x
  3. Step 3: Cross multiply
    24,894.12x = 34,340.73 × 14,815.38
  4. Step 4: Simplify right side
    24,894.12x = 508,770,964.43
  5. Step 5: Solve for x
    x = 508,770,964.43/24,894.12
  6. Step 6: Final answer
    x = 20,437.40

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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.