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Finding the Fourth Proportional to 20,856.64, 31,281.72 and 6,062.50

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Solution

The fourth proportional to 20,856.64, 31,281.72 and 6,062.50 is: 9,092.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,856.64 : 31,281.72 = 6,062.50 : x
  2. Step 2: Convert to fraction form
    20,856.64/31,281.72 = 6,062.50/x
  3. Step 3: Cross multiply
    20,856.64x = 31,281.72 × 6,062.50
  4. Step 4: Simplify right side
    20,856.64x = 189,645,427.50
  5. Step 5: Solve for x
    x = 189,645,427.50/20,856.64
  6. Step 6: Final answer
    x = 9,092.81

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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.