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Finding the Fourth Proportional to 23,700.16, 35,516.31 and 17,410.78

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Solution

The fourth proportional to 23,700.16, 35,516.31 and 17,410.78 is: 26,091.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,700.16 : 35,516.31 = 17,410.78 : x
  2. Step 2: Convert to fraction form
    23,700.16/35,516.31 = 17,410.78/x
  3. Step 3: Cross multiply
    23,700.16x = 35,516.31 × 17,410.78
  4. Step 4: Simplify right side
    23,700.16x = 618,366,659.82
  5. Step 5: Solve for x
    x = 618,366,659.82/23,700.16
  6. Step 6: Final answer
    x = 26,091.24

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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.