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Finding the Fourth Proportional to 16,327.46, 22,532.38 and 9,253.64

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Solution

The fourth proportional to 16,327.46, 22,532.38 and 9,253.64 is: 12,770.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,327.46 : 22,532.38 = 9,253.64 : x
  2. Step 2: Convert to fraction form
    16,327.46/22,532.38 = 9,253.64/x
  3. Step 3: Cross multiply
    16,327.46x = 22,532.38 × 9,253.64
  4. Step 4: Simplify right side
    16,327.46x = 208,506,532.86
  5. Step 5: Solve for x
    x = 208,506,532.86/16,327.46
  6. Step 6: Final answer
    x = 12,770.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.