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Finding the Fourth Proportional to 12,588.29, 18,881.19 and 3,823.28

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Solution

The fourth proportional to 12,588.29, 18,881.19 and 3,823.28 is: 5,734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,588.29 : 18,881.19 = 3,823.28 : x
  2. Step 2: Convert to fraction form
    12,588.29/18,881.19 = 3,823.28/x
  3. Step 3: Cross multiply
    12,588.29x = 18,881.19 × 3,823.28
  4. Step 4: Simplify right side
    12,588.29x = 72,187,981.70
  5. Step 5: Solve for x
    x = 72,187,981.70/12,588.29
  6. Step 6: Final answer
    x = 5,734.54

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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.