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Finding the Fourth Proportional to 16,006.40, 24,005.76 and 8,211.20

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Solution

The fourth proportional to 16,006.40, 24,005.76 and 8,211.20 is: 12,314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.40 : 24,005.76 = 8,211.20 : x
  2. Step 2: Convert to fraction form
    16,006.40/24,005.76 = 8,211.20/x
  3. Step 3: Cross multiply
    16,006.40x = 24,005.76 × 8,211.20
  4. Step 4: Simplify right side
    16,006.40x = 197,116,096.51
  5. Step 5: Solve for x
    x = 197,116,096.51/16,006.40
  6. Step 6: Final answer
    x = 12,314.83

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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.