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Finding the Fourth Proportional to 16,213.20, 24,319.80 and 14,053.20

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Solution

The fourth proportional to 16,213.20, 24,319.80 and 14,053.20 is: 21,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.20 : 24,319.80 = 14,053.20 : x
  2. Step 2: Convert to fraction form
    16,213.20/24,319.80 = 14,053.20/x
  3. Step 3: Cross multiply
    16,213.20x = 24,319.80 × 14,053.20
  4. Step 4: Simplify right side
    16,213.20x = 341,771,013.36
  5. Step 5: Solve for x
    x = 341,771,013.36/16,213.20
  6. Step 6: Final answer
    x = 21,079.80

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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.