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Finding the Fourth Proportional to 24,322.64, 36,483.97 and 5,854.64

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Solution

The fourth proportional to 24,322.64, 36,483.97 and 5,854.64 is: 8,781.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,322.64 : 36,483.97 = 5,854.64 : x
  2. Step 2: Convert to fraction form
    24,322.64/36,483.97 = 5,854.64/x
  3. Step 3: Cross multiply
    24,322.64x = 36,483.97 × 5,854.64
  4. Step 4: Simplify right side
    24,322.64x = 213,600,510.12
  5. Step 5: Solve for x
    x = 213,600,510.12/24,322.64
  6. Step 6: Final answer
    x = 8,781.96

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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.