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Finding the Fourth Proportional to 20,642.28, 30,975.77 and 7,495.71

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Solution

The fourth proportional to 20,642.28, 30,975.77 and 7,495.71 is: 11,248.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,642.28 : 30,975.77 = 7,495.71 : x
  2. Step 2: Convert to fraction form
    20,642.28/30,975.77 = 7,495.71/x
  3. Step 3: Cross multiply
    20,642.28x = 30,975.77 × 7,495.71
  4. Step 4: Simplify right side
    20,642.28x = 232,185,388.95
  5. Step 5: Solve for x
    x = 232,185,388.95/20,642.28
  6. Step 6: Final answer
    x = 11,248.05

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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.