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Finding the Fourth Proportional to 23,144.95, 31,945.62 and 13,586.95

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Solution

The fourth proportional to 23,144.95, 31,945.62 and 13,586.95 is: 18,753.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,144.95 : 31,945.62 = 13,586.95 : x
  2. Step 2: Convert to fraction form
    23,144.95/31,945.62 = 13,586.95/x
  3. Step 3: Cross multiply
    23,144.95x = 31,945.62 × 13,586.95
  4. Step 4: Simplify right side
    23,144.95x = 434,043,541.66
  5. Step 5: Solve for x
    x = 434,043,541.66/23,144.95
  6. Step 6: Final answer
    x = 18,753.27

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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.