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Finding the Fourth Proportional to 22,997.36, 31,734.60 and 14,049.20

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Solution

The fourth proportional to 22,997.36, 31,734.60 and 14,049.20 is: 19,386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,997.36 : 31,734.60 = 14,049.20 : x
  2. Step 2: Convert to fraction form
    22,997.36/31,734.60 = 14,049.20/x
  3. Step 3: Cross multiply
    22,997.36x = 31,734.60 × 14,049.20
  4. Step 4: Simplify right side
    22,997.36x = 445,845,742.32
  5. Step 5: Solve for x
    x = 445,845,742.32/22,997.36
  6. Step 6: Final answer
    x = 19,386.82

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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.