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Finding the Fourth Proportional to 24,564.83, 36,854.41 and 7,924.49

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Solution

The fourth proportional to 24,564.83, 36,854.41 and 7,924.49 is: 11,889.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564.83 : 36,854.41 = 7,924.49 : x
  2. Step 2: Convert to fraction form
    24,564.83/36,854.41 = 7,924.49/x
  3. Step 3: Cross multiply
    24,564.83x = 36,854.41 × 7,924.49
  4. Step 4: Simplify right side
    24,564.83x = 292,052,403.50
  5. Step 5: Solve for x
    x = 292,052,403.50/24,564.83
  6. Step 6: Final answer
    x = 11,889.05

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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.