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Finding the Fourth Proportional to 23,694.10, 35,510.31 and 9,637.74

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Solution

The fourth proportional to 23,694.10, 35,510.31 and 9,637.74 is: 14,444.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,694.10 : 35,510.31 = 9,637.74 : x
  2. Step 2: Convert to fraction form
    23,694.10/35,510.31 = 9,637.74/x
  3. Step 3: Cross multiply
    23,694.10x = 35,510.31 × 9,637.74
  4. Step 4: Simplify right side
    23,694.10x = 342,239,135.10
  5. Step 5: Solve for x
    x = 342,239,135.10/23,694.10
  6. Step 6: Final answer
    x = 14,444.07

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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.