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Finding the Fourth Proportional to 20,588.16, 30,875.30 and 8,104.90

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Solution

The fourth proportional to 20,588.16, 30,875.30 and 8,104.90 is: 12,154.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,588.16 : 30,875.30 = 8,104.90 : x
  2. Step 2: Convert to fraction form
    20,588.16/30,875.30 = 8,104.90/x
  3. Step 3: Cross multiply
    20,588.16x = 30,875.30 × 8,104.90
  4. Step 4: Simplify right side
    20,588.16x = 250,241,218.97
  5. Step 5: Solve for x
    x = 250,241,218.97/20,588.16
  6. Step 6: Final answer
    x = 12,154.62

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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.