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Finding the Fourth Proportional to 13,078.48, 18,042.74 and 7,770.42

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Solution

The fourth proportional to 13,078.48, 18,042.74 and 7,770.42 is: 10,719.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.48 : 18,042.74 = 7,770.42 : x
  2. Step 2: Convert to fraction form
    13,078.48/18,042.74 = 7,770.42/x
  3. Step 3: Cross multiply
    13,078.48x = 18,042.74 × 7,770.42
  4. Step 4: Simplify right side
    13,078.48x = 140,199,667.75
  5. Step 5: Solve for x
    x = 140,199,667.75/13,078.48
  6. Step 6: Final answer
    x = 10,719.87

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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.