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Finding the Fourth Proportional to 16,007.60, 23,962.80 and 9,414.20

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Solution

The fourth proportional to 16,007.60, 23,962.80 and 9,414.20 is: 14,092.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.60 : 23,962.80 = 9,414.20 : x
  2. Step 2: Convert to fraction form
    16,007.60/23,962.80 = 9,414.20/x
  3. Step 3: Cross multiply
    16,007.60x = 23,962.80 × 9,414.20
  4. Step 4: Simplify right side
    16,007.60x = 225,590,591.76
  5. Step 5: Solve for x
    x = 225,590,591.76/16,007.60
  6. Step 6: Final answer
    x = 14,092.72

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1.5x scale

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.