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Finding the Fourth Proportional to 24,577.30, 33,917.97 and 13,400.02

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Solution

The fourth proportional to 24,577.30, 33,917.97 and 13,400.02 is: 18,492.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,577.30 : 33,917.97 = 13,400.02 : x
  2. Step 2: Convert to fraction form
    24,577.30/33,917.97 = 13,400.02/x
  3. Step 3: Cross multiply
    24,577.30x = 33,917.97 × 13,400.02
  4. Step 4: Simplify right side
    24,577.30x = 454,501,476.36
  5. Step 5: Solve for x
    x = 454,501,476.36/24,577.30
  6. Step 6: Final answer
    x = 18,492.73

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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.