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Finding the Fourth Proportional to 13,667.54, 20,507.79 and 5,878.58

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Solution

The fourth proportional to 13,667.54, 20,507.79 and 5,878.58 is: 8,820.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,667.54 : 20,507.79 = 5,878.58 : x
  2. Step 2: Convert to fraction form
    13,667.54/20,507.79 = 5,878.58/x
  3. Step 3: Cross multiply
    13,667.54x = 20,507.79 × 5,878.58
  4. Step 4: Simplify right side
    13,667.54x = 120,556,684.14
  5. Step 5: Solve for x
    x = 120,556,684.14/13,667.54
  6. Step 6: Final answer
    x = 8,820.66

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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.