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Finding the Fourth Proportional to 20,497.71, 30,750.88 and 6,645.63

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Solution

The fourth proportional to 20,497.71, 30,750.88 and 6,645.63 is: 9,969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.71 : 30,750.88 = 6,645.63 : x
  2. Step 2: Convert to fraction form
    20,497.71/30,750.88 = 6,645.63/x
  3. Step 3: Cross multiply
    20,497.71x = 30,750.88 × 6,645.63
  4. Step 4: Simplify right side
    20,497.71x = 204,358,816.90
  5. Step 5: Solve for x
    x = 204,358,816.90/20,497.71
  6. Step 6: Final answer
    x = 9,969.84

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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.