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Finding the Fourth Proportional to 16,375.60, 24,566.60 and 6,513.20

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Solution

The fourth proportional to 16,375.60, 24,566.60 and 6,513.20 is: 9,771.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,375.60 : 24,566.60 = 6,513.20 : x
  2. Step 2: Convert to fraction form
    16,375.60/24,566.60 = 6,513.20/x
  3. Step 3: Cross multiply
    16,375.60x = 24,566.60 × 6,513.20
  4. Step 4: Simplify right side
    16,375.60x = 160,007,179.12
  5. Step 5: Solve for x
    x = 160,007,179.12/16,375.60
  6. Step 6: Final answer
    x = 9,771.07

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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.