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Finding the Fourth Proportional to 24,835.58, 37,270.11 and 9,253.20

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Solution

The fourth proportional to 24,835.58, 37,270.11 and 9,253.20 is: 13,886.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,835.58 : 37,270.11 = 9,253.20 : x
  2. Step 2: Convert to fraction form
    24,835.58/37,270.11 = 9,253.20/x
  3. Step 3: Cross multiply
    24,835.58x = 37,270.11 × 9,253.20
  4. Step 4: Simplify right side
    24,835.58x = 344,867,904.27
  5. Step 5: Solve for x
    x = 344,867,904.27/24,835.58
  6. Step 6: Final answer
    x = 13,886.04

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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.