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Finding the Fourth Proportional to 12,088.32, 18,123.84 and 5,936.64

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Solution

The fourth proportional to 12,088.32, 18,123.84 and 5,936.64 is: 8,900.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,088.32 : 18,123.84 = 5,936.64 : x
  2. Step 2: Convert to fraction form
    12,088.32/18,123.84 = 5,936.64/x
  3. Step 3: Cross multiply
    12,088.32x = 18,123.84 × 5,936.64
  4. Step 4: Simplify right side
    12,088.32x = 107,594,713.50
  5. Step 5: Solve for x
    x = 107,594,713.50/12,088.32
  6. Step 6: Final answer
    x = 8,900.72

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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.