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Finding the Fourth Proportional to 13,588.95, 20,397.11 and 8,047.83

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Solution

The fourth proportional to 13,588.95, 20,397.11 and 8,047.83 is: 12,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,588.95 : 20,397.11 = 8,047.83 : x
  2. Step 2: Convert to fraction form
    13,588.95/20,397.11 = 8,047.83/x
  3. Step 3: Cross multiply
    13,588.95x = 20,397.11 × 8,047.83
  4. Step 4: Simplify right side
    13,588.95x = 164,152,433.53
  5. Step 5: Solve for x
    x = 164,152,433.53/13,588.95
  6. Step 6: Final answer
    x = 12,079.85

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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.