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Finding the Fourth Proportional to 23,769.22, 32,792.19 and 15,270.16

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Solution

The fourth proportional to 23,769.22, 32,792.19 and 15,270.16 is: 21,066.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,769.22 : 32,792.19 = 15,270.16 : x
  2. Step 2: Convert to fraction form
    23,769.22/32,792.19 = 15,270.16/x
  3. Step 3: Cross multiply
    23,769.22x = 32,792.19 × 15,270.16
  4. Step 4: Simplify right side
    23,769.22x = 500,741,988.05
  5. Step 5: Solve for x
    x = 500,741,988.05/23,769.22
  6. Step 6: Final answer
    x = 21,066.82

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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.