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Finding the Fourth Proportional to 13,678.82, 18,876.76 and 7,391.19

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Solution

The fourth proportional to 13,678.82, 18,876.76 and 7,391.19 is: 10,199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.82 : 18,876.76 = 7,391.19 : x
  2. Step 2: Convert to fraction form
    13,678.82/18,876.76 = 7,391.19/x
  3. Step 3: Cross multiply
    13,678.82x = 18,876.76 × 7,391.19
  4. Step 4: Simplify right side
    13,678.82x = 139,521,719.74
  5. Step 5: Solve for x
    x = 139,521,719.74/13,678.82
  6. Step 6: Final answer
    x = 10,199.84

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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.