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Finding the Fourth Proportional to 22,961.79, 31,690.74 and 14,014.49

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Solution

The fourth proportional to 22,961.79, 31,690.74 and 14,014.49 is: 19,342.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,961.79 : 31,690.74 = 14,014.49 : x
  2. Step 2: Convert to fraction form
    22,961.79/31,690.74 = 14,014.49/x
  3. Step 3: Cross multiply
    22,961.79x = 31,690.74 × 14,014.49
  4. Step 4: Simplify right side
    22,961.79x = 444,129,400.37
  5. Step 5: Solve for x
    x = 444,129,400.37/22,961.79
  6. Step 6: Final answer
    x = 19,342.11

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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.