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Finding the Fourth Proportional to 24,749.30, 34,153.62 and 13,994

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Solution

The fourth proportional to 24,749.30, 34,153.62 and 13,994 is: 19,311.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,749.30 : 34,153.62 = 13,994 : x
  2. Step 2: Convert to fraction form
    24,749.30/34,153.62 = 13,994/x
  3. Step 3: Cross multiply
    24,749.30x = 34,153.62 × 13,994
  4. Step 4: Simplify right side
    24,749.30x = 477,945,758.28
  5. Step 5: Solve for x
    x = 477,945,758.28/24,749.30
  6. Step 6: Final answer
    x = 19,311.49

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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.