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Finding the Fourth Proportional to 23,726.94, 35,594.50 and 9,694.58

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Solution

The fourth proportional to 23,726.94, 35,594.50 and 9,694.58 is: 14,543.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,726.94 : 35,594.50 = 9,694.58 : x
  2. Step 2: Convert to fraction form
    23,726.94/35,594.50 = 9,694.58/x
  3. Step 3: Cross multiply
    23,726.94x = 35,594.50 × 9,694.58
  4. Step 4: Simplify right side
    23,726.94x = 345,073,727.81
  5. Step 5: Solve for x
    x = 345,073,727.81/23,726.94
  6. Step 6: Final answer
    x = 14,543.54

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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.