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Finding the Fourth Proportional to 13,812.38, 20,718.57 and 4,578.38

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Solution

The fourth proportional to 13,812.38, 20,718.57 and 4,578.38 is: 6,867.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.38 : 20,718.57 = 4,578.38 : x
  2. Step 2: Convert to fraction form
    13,812.38/20,718.57 = 4,578.38/x
  3. Step 3: Cross multiply
    13,812.38x = 20,718.57 × 4,578.38
  4. Step 4: Simplify right side
    13,812.38x = 94,857,486.52
  5. Step 5: Solve for x
    x = 94,857,486.52/13,812.38
  6. Step 6: Final answer
    x = 6,867.57

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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.