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Finding the Fourth Proportional to 20,710, 31,065.72 and 6,858.64

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Solution

The fourth proportional to 20,710, 31,065.72 and 6,858.64 is: 10,288.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,710 : 31,065.72 = 6,858.64 : x
  2. Step 2: Convert to fraction form
    20,710/31,065.72 = 6,858.64/x
  3. Step 3: Cross multiply
    20,710x = 31,065.72 × 6,858.64
  4. Step 4: Simplify right side
    20,710x = 213,068,589.82
  5. Step 5: Solve for x
    x = 213,068,589.82/20,710
  6. Step 6: Final answer
    x = 10,288.20

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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.