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Finding the Fourth Proportional to 20,900.47, 31,328.65 and 6,856.83

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Solution

The fourth proportional to 20,900.47, 31,328.65 and 6,856.83 is: 10,278.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,900.47 : 31,328.65 = 6,856.83 : x
  2. Step 2: Convert to fraction form
    20,900.47/31,328.65 = 6,856.83/x
  3. Step 3: Cross multiply
    20,900.47x = 31,328.65 × 6,856.83
  4. Step 4: Simplify right side
    20,900.47x = 214,815,227.18
  5. Step 5: Solve for x
    x = 214,815,227.18/20,900.47
  6. Step 6: Final answer
    x = 10,278.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.