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Finding the Fourth Proportional to 24,902.52, 37,357.43 and 9,316.50

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Solution

The fourth proportional to 24,902.52, 37,357.43 and 9,316.50 is: 13,976.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,902.52 : 37,357.43 = 9,316.50 : x
  2. Step 2: Convert to fraction form
    24,902.52/37,357.43 = 9,316.50/x
  3. Step 3: Cross multiply
    24,902.52x = 37,357.43 × 9,316.50
  4. Step 4: Simplify right side
    24,902.52x = 348,040,496.60
  5. Step 5: Solve for x
    x = 348,040,496.60/24,902.52
  6. Step 6: Final answer
    x = 13,976.12

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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.