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Finding the Fourth Proportional to 13,856.64, 20,781.72 and 6,833.40

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Solution

The fourth proportional to 13,856.64, 20,781.72 and 6,833.40 is: 10,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856.64 : 20,781.72 = 6,833.40 : x
  2. Step 2: Convert to fraction form
    13,856.64/20,781.72 = 6,833.40/x
  3. Step 3: Cross multiply
    13,856.64x = 20,781.72 × 6,833.40
  4. Step 4: Simplify right side
    13,856.64x = 142,009,805.45
  5. Step 5: Solve for x
    x = 142,009,805.45/13,856.64
  6. Step 6: Final answer
    x = 10,248.50

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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.