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Finding the Fourth Proportional to 23,792.41, 32,833.70 and 13,182.22

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Solution

The fourth proportional to 23,792.41, 32,833.70 and 13,182.22 is: 18,191.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,792.41 : 32,833.70 = 13,182.22 : x
  2. Step 2: Convert to fraction form
    23,792.41/32,833.70 = 13,182.22/x
  3. Step 3: Cross multiply
    23,792.41x = 32,833.70 × 13,182.22
  4. Step 4: Simplify right side
    23,792.41x = 432,821,056.81
  5. Step 5: Solve for x
    x = 432,821,056.81/23,792.41
  6. Step 6: Final answer
    x = 18,191.56

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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.