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Finding the Fourth Proportional to 29,695.80, 40,983.66 and 17,121

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Solution

The fourth proportional to 29,695.80, 40,983.66 and 17,121 is: 23,628.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,695.80 : 40,983.66 = 17,121 : x
  2. Step 2: Convert to fraction form
    29,695.80/40,983.66 = 17,121/x
  3. Step 3: Cross multiply
    29,695.80x = 40,983.66 × 17,121
  4. Step 4: Simplify right side
    29,695.80x = 701,681,242.86
  5. Step 5: Solve for x
    x = 701,681,242.86/29,695.80
  6. Step 6: Final answer
    x = 23,628.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.