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Finding the Fourth Proportional to 20,188.59, 30,280.59 and 5,398.80

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Solution

The fourth proportional to 20,188.59, 30,280.59 and 5,398.80 is: 8,097.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,188.59 : 30,280.59 = 5,398.80 : x
  2. Step 2: Convert to fraction form
    20,188.59/30,280.59 = 5,398.80/x
  3. Step 3: Cross multiply
    20,188.59x = 30,280.59 × 5,398.80
  4. Step 4: Simplify right side
    20,188.59x = 163,478,849.29
  5. Step 5: Solve for x
    x = 163,478,849.29/20,188.59
  6. Step 6: Final answer
    x = 8,097.59

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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.