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Finding the Fourth Proportional to 16,154.60, 24,232.70 and 8,378.60

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Solution

The fourth proportional to 16,154.60, 24,232.70 and 8,378.60 is: 12,568.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,154.60 : 24,232.70 = 8,378.60 : x
  2. Step 2: Convert to fraction form
    16,154.60/24,232.70 = 8,378.60/x
  3. Step 3: Cross multiply
    16,154.60x = 24,232.70 × 8,378.60
  4. Step 4: Simplify right side
    16,154.60x = 203,036,100.22
  5. Step 5: Solve for x
    x = 203,036,100.22/16,154.60
  6. Step 6: Final answer
    x = 12,568.31

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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.