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Finding the Fourth Proportional to 16,199, 24,300 and 7,432.64

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Solution

The fourth proportional to 16,199, 24,300 and 7,432.64 is: 11,149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199 : 24,300 = 7,432.64 : x
  2. Step 2: Convert to fraction form
    16,199/24,300 = 7,432.64/x
  3. Step 3: Cross multiply
    16,199x = 24,300 × 7,432.64
  4. Step 4: Simplify right side
    16,199x = 180,613,152
  5. Step 5: Solve for x
    x = 180,613,152/16,199
  6. Step 6: Final answer
    x = 11,149.65

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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.