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Finding the Fourth Proportional to 24,749.84, 34,146.27 and 13,993.44

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Solution

The fourth proportional to 24,749.84, 34,146.27 and 13,993.44 is: 19,306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,749.84 : 34,146.27 = 13,993.44 : x
  2. Step 2: Convert to fraction form
    24,749.84/34,146.27 = 13,993.44/x
  3. Step 3: Cross multiply
    24,749.84x = 34,146.27 × 13,993.44
  4. Step 4: Simplify right side
    24,749.84x = 477,823,780.47
  5. Step 5: Solve for x
    x = 477,823,780.47/24,749.84
  6. Step 6: Final answer
    x = 19,306.14

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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.