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Finding the Fourth Proportional to 23,229.63, 32,046.57 and 13,792.71

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Solution

The fourth proportional to 23,229.63, 32,046.57 and 13,792.71 is: 19,027.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,229.63 : 32,046.57 = 13,792.71 : x
  2. Step 2: Convert to fraction form
    23,229.63/32,046.57 = 13,792.71/x
  3. Step 3: Cross multiply
    23,229.63x = 32,046.57 × 13,792.71
  4. Step 4: Simplify right side
    23,229.63x = 442,009,046.50
  5. Step 5: Solve for x
    x = 442,009,046.50/23,229.63
  6. Step 6: Final answer
    x = 19,027.81

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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.