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Finding the Fourth Proportional to 24,959.31, 37,428.03 and 9,366

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Solution

The fourth proportional to 24,959.31, 37,428.03 and 9,366 is: 14,044.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,959.31 : 37,428.03 = 9,366 : x
  2. Step 2: Convert to fraction form
    24,959.31/37,428.03 = 9,366/x
  3. Step 3: Cross multiply
    24,959.31x = 37,428.03 × 9,366
  4. Step 4: Simplify right side
    24,959.31x = 350,550,928.98
  5. Step 5: Solve for x
    x = 350,550,928.98/24,959.31
  6. Step 6: Final answer
    x = 14,044.90

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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.