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Finding the Fourth Proportional to 16,244.16, 24,377.76 and 7,005.12

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Solution

The fourth proportional to 16,244.16, 24,377.76 and 7,005.12 is: 10,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,244.16 : 24,377.76 = 7,005.12 : x
  2. Step 2: Convert to fraction form
    16,244.16/24,377.76 = 7,005.12/x
  3. Step 3: Cross multiply
    16,244.16x = 24,377.76 × 7,005.12
  4. Step 4: Simplify right side
    16,244.16x = 170,769,134.13
  5. Step 5: Solve for x
    x = 170,769,134.13/16,244.16
  6. Step 6: Final answer
    x = 10,512.65

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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.