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Finding the Fourth Proportional to 13,867.84, 20,805.44 and 4,006.96

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Solution

The fourth proportional to 13,867.84, 20,805.44 and 4,006.96 is: 6,011.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,867.84 : 20,805.44 = 4,006.96 : x
  2. Step 2: Convert to fraction form
    13,867.84/20,805.44 = 4,006.96/x
  3. Step 3: Cross multiply
    13,867.84x = 20,805.44 × 4,006.96
  4. Step 4: Simplify right side
    13,867.84x = 83,366,565.86
  5. Step 5: Solve for x
    x = 83,366,565.86/13,867.84
  6. Step 6: Final answer
    x = 6,011.50

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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.