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Finding the Fourth Proportional to 20,647.68, 30,970.56 and 5,064.48

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Solution

The fourth proportional to 20,647.68, 30,970.56 and 5,064.48 is: 7,596.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,647.68 : 30,970.56 = 5,064.48 : x
  2. Step 2: Convert to fraction form
    20,647.68/30,970.56 = 5,064.48/x
  3. Step 3: Cross multiply
    20,647.68x = 30,970.56 × 5,064.48
  4. Step 4: Simplify right side
    20,647.68x = 156,849,781.71
  5. Step 5: Solve for x
    x = 156,849,781.71/20,647.68
  6. Step 6: Final answer
    x = 7,596.48

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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.