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Finding the Fourth Proportional to 16,591.44, 24,891.36 and 4,904.64

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Solution

The fourth proportional to 16,591.44, 24,891.36 and 4,904.64 is: 7,358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591.44 : 24,891.36 = 4,904.64 : x
  2. Step 2: Convert to fraction form
    16,591.44/24,891.36 = 4,904.64/x
  3. Step 3: Cross multiply
    16,591.44x = 24,891.36 × 4,904.64
  4. Step 4: Simplify right side
    16,591.44x = 122,083,159.91
  5. Step 5: Solve for x
    x = 122,083,159.91/16,591.44
  6. Step 6: Final answer
    x = 7,358.20

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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.