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Finding the Fourth Proportional to 23,138.86, 34,728 and 9,108.76

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Solution

The fourth proportional to 23,138.86, 34,728 and 9,108.76 is: 13,670.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,138.86 : 34,728 = 9,108.76 : x
  2. Step 2: Convert to fraction form
    23,138.86/34,728 = 9,108.76/x
  3. Step 3: Cross multiply
    23,138.86x = 34,728 × 9,108.76
  4. Step 4: Simplify right side
    23,138.86x = 316,329,017.28
  5. Step 5: Solve for x
    x = 316,329,017.28/23,138.86
  6. Step 6: Final answer
    x = 13,670.90

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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.