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Finding the Fourth Proportional to 13,678.89, 18,876.84 and 7,391.25

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Solution

The fourth proportional to 13,678.89, 18,876.84 and 7,391.25 is: 10,199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.89 : 18,876.84 = 7,391.25 : x
  2. Step 2: Convert to fraction form
    13,678.89/18,876.84 = 7,391.25/x
  3. Step 3: Cross multiply
    13,678.89x = 18,876.84 × 7,391.25
  4. Step 4: Simplify right side
    13,678.89x = 139,523,443.65
  5. Step 5: Solve for x
    x = 139,523,443.65/13,678.89
  6. Step 6: Final answer
    x = 10,199.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.