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Finding the Fourth Proportional to 24,879.76, 37,318.36 and 9,296.16

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Solution

The fourth proportional to 24,879.76, 37,318.36 and 9,296.16 is: 13,943.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,879.76 : 37,318.36 = 9,296.16 : x
  2. Step 2: Convert to fraction form
    24,879.76/37,318.36 = 9,296.16/x
  3. Step 3: Cross multiply
    24,879.76x = 37,318.36 × 9,296.16
  4. Step 4: Simplify right side
    24,879.76x = 346,917,445.50
  5. Step 5: Solve for x
    x = 346,917,445.50/24,879.76
  6. Step 6: Final answer
    x = 13,943.76

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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.