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Finding the Fourth Proportional to 23,594.16, 35,389.38 and 7,797.62

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Solution

The fourth proportional to 23,594.16, 35,389.38 and 7,797.62 is: 11,695.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,594.16 : 35,389.38 = 7,797.62 : x
  2. Step 2: Convert to fraction form
    23,594.16/35,389.38 = 7,797.62/x
  3. Step 3: Cross multiply
    23,594.16x = 35,389.38 × 7,797.62
  4. Step 4: Simplify right side
    23,594.16x = 275,952,937.28
  5. Step 5: Solve for x
    x = 275,952,937.28/23,594.16
  6. Step 6: Final answer
    x = 11,695.82

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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.