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Finding the Fourth Proportional to 16,006.40, 24,009.60 and 8,230.40

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Solution

The fourth proportional to 16,006.40, 24,009.60 and 8,230.40 is: 12,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.40 : 24,009.60 = 8,230.40 : x
  2. Step 2: Convert to fraction form
    16,006.40/24,009.60 = 8,230.40/x
  3. Step 3: Cross multiply
    16,006.40x = 24,009.60 × 8,230.40
  4. Step 4: Simplify right side
    16,006.40x = 197,608,611.84
  5. Step 5: Solve for x
    x = 197,608,611.84/16,006.40
  6. Step 6: Final answer
    x = 12,345.60

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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.