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Finding the Fourth Proportional to 16,188.34, 24,276.13 and 7,865.90

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Solution

The fourth proportional to 16,188.34, 24,276.13 and 7,865.90 is: 11,795.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,188.34 : 24,276.13 = 7,865.90 : x
  2. Step 2: Convert to fraction form
    16,188.34/24,276.13 = 7,865.90/x
  3. Step 3: Cross multiply
    16,188.34x = 24,276.13 × 7,865.90
  4. Step 4: Simplify right side
    16,188.34x = 190,953,469.92
  5. Step 5: Solve for x
    x = 190,953,469.92/16,188.34
  6. Step 6: Final answer
    x = 11,795.74

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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.