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Finding the Fourth Proportional to 24,690.32, 37,034.52 and 9,894.80

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Solution

The fourth proportional to 24,690.32, 37,034.52 and 9,894.80 is: 14,841.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,690.32 : 37,034.52 = 9,894.80 : x
  2. Step 2: Convert to fraction form
    24,690.32/37,034.52 = 9,894.80/x
  3. Step 3: Cross multiply
    24,690.32x = 37,034.52 × 9,894.80
  4. Step 4: Simplify right side
    24,690.32x = 366,449,168.50
  5. Step 5: Solve for x
    x = 366,449,168.50/24,690.32
  6. Step 6: Final answer
    x = 14,841.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.