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Finding the Fourth Proportional to 24,880.38, 34,364.10 and 16,482.30

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Solution

The fourth proportional to 24,880.38, 34,364.10 and 16,482.30 is: 22,764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,880.38 : 34,364.10 = 16,482.30 : x
  2. Step 2: Convert to fraction form
    24,880.38/34,364.10 = 16,482.30/x
  3. Step 3: Cross multiply
    24,880.38x = 34,364.10 × 16,482.30
  4. Step 4: Simplify right side
    24,880.38x = 566,399,405.43
  5. Step 5: Solve for x
    x = 566,399,405.43/24,880.38
  6. Step 6: Final answer
    x = 22,764.90

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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.