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Finding the Fourth Proportional to 23,156.54, 34,736.34 and 9,115.46

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Solution

The fourth proportional to 23,156.54, 34,736.34 and 9,115.46 is: 13,673.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,156.54 : 34,736.34 = 9,115.46 : x
  2. Step 2: Convert to fraction form
    23,156.54/34,736.34 = 9,115.46/x
  3. Step 3: Cross multiply
    23,156.54x = 34,736.34 × 9,115.46
  4. Step 4: Simplify right side
    23,156.54x = 316,637,717.82
  5. Step 5: Solve for x
    x = 316,637,717.82/23,156.54
  6. Step 6: Final answer
    x = 13,673.79

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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.