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Finding the Fourth Proportional to 24,778.71, 37,181.30 and 11,631.20

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Solution

The fourth proportional to 24,778.71, 37,181.30 and 11,631.20 is: 17,453.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,778.71 : 37,181.30 = 11,631.20 : x
  2. Step 2: Convert to fraction form
    24,778.71/37,181.30 = 11,631.20/x
  3. Step 3: Cross multiply
    24,778.71x = 37,181.30 × 11,631.20
  4. Step 4: Simplify right side
    24,778.71x = 432,462,892.50
  5. Step 5: Solve for x
    x = 432,462,892.50/24,778.71
  6. Step 6: Final answer
    x = 17,453.00

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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.