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Finding the Fourth Proportional to 23,661.57, 32,648.42 and 14,230.74

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Solution

The fourth proportional to 23,661.57, 32,648.42 and 14,230.74 is: 19,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,661.57 : 32,648.42 = 14,230.74 : x
  2. Step 2: Convert to fraction form
    23,661.57/32,648.42 = 14,230.74/x
  3. Step 3: Cross multiply
    23,661.57x = 32,648.42 × 14,230.74
  4. Step 4: Simplify right side
    23,661.57x = 464,611,212.01
  5. Step 5: Solve for x
    x = 464,611,212.01/23,661.57
  6. Step 6: Final answer
    x = 19,635.69

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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.