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Finding the Fourth Proportional to 23,179.86, 34,771.62 and 9,138.93

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Solution

The fourth proportional to 23,179.86, 34,771.62 and 9,138.93 is: 13,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,179.86 : 34,771.62 = 9,138.93 : x
  2. Step 2: Convert to fraction form
    23,179.86/34,771.62 = 9,138.93/x
  3. Step 3: Cross multiply
    23,179.86x = 34,771.62 × 9,138.93
  4. Step 4: Simplify right side
    23,179.86x = 317,775,401.17
  5. Step 5: Solve for x
    x = 317,775,401.17/23,179.86
  6. Step 6: Final answer
    x = 13,709.12

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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.