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Finding the Fourth Proportional to 24,927.83, 34,398.02 and 13,749.11

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Solution

The fourth proportional to 24,927.83, 34,398.02 and 13,749.11 is: 18,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,927.83 : 34,398.02 = 13,749.11 : x
  2. Step 2: Convert to fraction form
    24,927.83/34,398.02 = 13,749.11/x
  3. Step 3: Cross multiply
    24,927.83x = 34,398.02 × 13,749.11
  4. Step 4: Simplify right side
    24,927.83x = 472,942,092.02
  5. Step 5: Solve for x
    x = 472,942,092.02/24,927.83
  6. Step 6: Final answer
    x = 18,972.45

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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.