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Finding the Fourth Proportional to 24,924.38, 37,392.80 and 8,284.46

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Solution

The fourth proportional to 24,924.38, 37,392.80 and 8,284.46 is: 12,428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,924.38 : 37,392.80 = 8,284.46 : x
  2. Step 2: Convert to fraction form
    24,924.38/37,392.80 = 8,284.46/x
  3. Step 3: Cross multiply
    24,924.38x = 37,392.80 × 8,284.46
  4. Step 4: Simplify right side
    24,924.38x = 309,778,927.50
  5. Step 5: Solve for x
    x = 309,778,927.50/24,924.38
  6. Step 6: Final answer
    x = 12,428.75

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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.