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Finding the Fourth Proportional to 22,709.16, 34,025.47 and 14,398.56

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Solution

The fourth proportional to 22,709.16, 34,025.47 and 14,398.56 is: 21,573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.16 : 34,025.47 = 14,398.56 : x
  2. Step 2: Convert to fraction form
    22,709.16/34,025.47 = 14,398.56/x
  3. Step 3: Cross multiply
    22,709.16x = 34,025.47 × 14,398.56
  4. Step 4: Simplify right side
    22,709.16x = 489,917,735.33
  5. Step 5: Solve for x
    x = 489,917,735.33/22,709.16
  6. Step 6: Final answer
    x = 21,573.57

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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.