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Finding the Fourth Proportional to 16,143.84, 24,202.80 and 8,348.40

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Solution

The fourth proportional to 16,143.84, 24,202.80 and 8,348.40 is: 12,515.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,143.84 : 24,202.80 = 8,348.40 : x
  2. Step 2: Convert to fraction form
    16,143.84/24,202.80 = 8,348.40/x
  3. Step 3: Cross multiply
    16,143.84x = 24,202.80 × 8,348.40
  4. Step 4: Simplify right side
    16,143.84x = 202,054,655.52
  5. Step 5: Solve for x
    x = 202,054,655.52/16,143.84
  6. Step 6: Final answer
    x = 12,515.90

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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.