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Finding the Fourth Proportional to 24,564.96, 36,847.29 and 7,034.79

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Solution

The fourth proportional to 24,564.96, 36,847.29 and 7,034.79 is: 10,552.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564.96 : 36,847.29 = 7,034.79 : x
  2. Step 2: Convert to fraction form
    24,564.96/36,847.29 = 7,034.79/x
  3. Step 3: Cross multiply
    24,564.96x = 36,847.29 × 7,034.79
  4. Step 4: Simplify right side
    24,564.96x = 259,212,947.22
  5. Step 5: Solve for x
    x = 259,212,947.22/24,564.96
  6. Step 6: Final answer
    x = 10,552.14

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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.