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Finding the Fourth Proportional to 20,642.40, 30,965.76 and 6,788.16

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Solution

The fourth proportional to 20,642.40, 30,965.76 and 6,788.16 is: 10,182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,642.40 : 30,965.76 = 6,788.16 : x
  2. Step 2: Convert to fraction form
    20,642.40/30,965.76 = 6,788.16/x
  3. Step 3: Cross multiply
    20,642.40x = 30,965.76 × 6,788.16
  4. Step 4: Simplify right side
    20,642.40x = 210,200,533.40
  5. Step 5: Solve for x
    x = 210,200,533.40/20,642.40
  6. Step 6: Final answer
    x = 10,182.95

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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.