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Finding the Fourth Proportional to 24,529.92, 33,852.16 and 13,920

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Solution

The fourth proportional to 24,529.92, 33,852.16 and 13,920 is: 19,210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,529.92 : 33,852.16 = 13,920 : x
  2. Step 2: Convert to fraction form
    24,529.92/33,852.16 = 13,920/x
  3. Step 3: Cross multiply
    24,529.92x = 33,852.16 × 13,920
  4. Step 4: Simplify right side
    24,529.92x = 471,222,067.20
  5. Step 5: Solve for x
    x = 471,222,067.20/24,529.92
  6. Step 6: Final answer
    x = 19,210.09

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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.