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Finding the Fourth Proportional to 22,995.90, 31,738.23 and 13,569.12

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Solution

The fourth proportional to 22,995.90, 31,738.23 and 13,569.12 is: 18,727.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,995.90 : 31,738.23 = 13,569.12 : x
  2. Step 2: Convert to fraction form
    22,995.90/31,738.23 = 13,569.12/x
  3. Step 3: Cross multiply
    22,995.90x = 31,738.23 × 13,569.12
  4. Step 4: Simplify right side
    22,995.90x = 430,659,851.46
  5. Step 5: Solve for x
    x = 430,659,851.46/22,995.90
  6. Step 6: Final answer
    x = 18,727.68

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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.