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Finding the Fourth Proportional to 20,673.12, 30,989.60 and 8,188.98

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Solution

The fourth proportional to 20,673.12, 30,989.60 and 8,188.98 is: 12,275.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,673.12 : 30,989.60 = 8,188.98 : x
  2. Step 2: Convert to fraction form
    20,673.12/30,989.60 = 8,188.98/x
  3. Step 3: Cross multiply
    20,673.12x = 30,989.60 × 8,188.98
  4. Step 4: Simplify right side
    20,673.12x = 253,773,214.61
  5. Step 5: Solve for x
    x = 253,773,214.61/20,673.12
  6. Step 6: Final answer
    x = 12,275.52

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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.