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Finding the Fourth Proportional to 23,381.10, 35,073.42 and 7,798.71

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Solution

The fourth proportional to 23,381.10, 35,073.42 and 7,798.71 is: 11,698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,381.10 : 35,073.42 = 7,798.71 : x
  2. Step 2: Convert to fraction form
    23,381.10/35,073.42 = 7,798.71/x
  3. Step 3: Cross multiply
    23,381.10x = 35,073.42 × 7,798.71
  4. Step 4: Simplify right side
    23,381.10x = 273,527,431.29
  5. Step 5: Solve for x
    x = 273,527,431.29/23,381.10
  6. Step 6: Final answer
    x = 11,698.66

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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.