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Finding the Fourth Proportional to 14,672.16, 20,251.44 and 9,087.84

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Solution

The fourth proportional to 14,672.16, 20,251.44 and 9,087.84 is: 12,543.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,672.16 : 20,251.44 = 9,087.84 : x
  2. Step 2: Convert to fraction form
    14,672.16/20,251.44 = 9,087.84/x
  3. Step 3: Cross multiply
    14,672.16x = 20,251.44 × 9,087.84
  4. Step 4: Simplify right side
    14,672.16x = 184,041,846.49
  5. Step 5: Solve for x
    x = 184,041,846.49/14,672.16
  6. Step 6: Final answer
    x = 12,543.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.