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Finding the Fourth Proportional to 24,948.56, 37,422.80 and 9,154.32

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Solution

The fourth proportional to 24,948.56, 37,422.80 and 9,154.32 is: 13,731.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,948.56 : 37,422.80 = 9,154.32 : x
  2. Step 2: Convert to fraction form
    24,948.56/37,422.80 = 9,154.32/x
  3. Step 3: Cross multiply
    24,948.56x = 37,422.80 × 9,154.32
  4. Step 4: Simplify right side
    24,948.56x = 342,580,286.50
  5. Step 5: Solve for x
    x = 342,580,286.50/24,948.56
  6. Step 6: Final answer
    x = 13,731.47

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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.