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Finding the Fourth Proportional to 23,844.69, 35,760.20 and 9,613.13

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Solution

The fourth proportional to 23,844.69, 35,760.20 and 9,613.13 is: 14,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,844.69 : 35,760.20 = 9,613.13 : x
  2. Step 2: Convert to fraction form
    23,844.69/35,760.20 = 9,613.13/x
  3. Step 3: Cross multiply
    23,844.69x = 35,760.20 × 9,613.13
  4. Step 4: Simplify right side
    23,844.69x = 343,767,224.56
  5. Step 5: Solve for x
    x = 343,767,224.56/23,844.69
  6. Step 6: Final answer
    x = 14,416.93

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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.