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Finding the Fourth Proportional to 24,322.56, 36,483.86 and 5,854.56

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Solution

The fourth proportional to 24,322.56, 36,483.86 and 5,854.56 is: 8,781.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,322.56 : 36,483.86 = 5,854.56 : x
  2. Step 2: Convert to fraction form
    24,322.56/36,483.86 = 5,854.56/x
  3. Step 3: Cross multiply
    24,322.56x = 36,483.86 × 5,854.56
  4. Step 4: Simplify right side
    24,322.56x = 213,596,947.40
  5. Step 5: Solve for x
    x = 213,596,947.40/24,322.56
  6. Step 6: Final answer
    x = 8,781.84

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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.