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Finding the Fourth Proportional to 24,815.31, 37,201.08 and 9,222

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Solution

The fourth proportional to 24,815.31, 37,201.08 and 9,222 is: 13,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,815.31 : 37,201.08 = 9,222 : x
  2. Step 2: Convert to fraction form
    24,815.31/37,201.08 = 9,222/x
  3. Step 3: Cross multiply
    24,815.31x = 37,201.08 × 9,222
  4. Step 4: Simplify right side
    24,815.31x = 343,068,359.76
  5. Step 5: Solve for x
    x = 343,068,359.76/24,815.31
  6. Step 6: Final answer
    x = 13,824.87

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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.