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Finding the Fourth Proportional to 24,175.77, 33,362.01 and 13,419.99

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Solution

The fourth proportional to 24,175.77, 33,362.01 and 13,419.99 is: 18,519.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,175.77 : 33,362.01 = 13,419.99 : x
  2. Step 2: Convert to fraction form
    24,175.77/33,362.01 = 13,419.99/x
  3. Step 3: Cross multiply
    24,175.77x = 33,362.01 × 13,419.99
  4. Step 4: Simplify right side
    24,175.77x = 447,717,840.58
  5. Step 5: Solve for x
    x = 447,717,840.58/24,175.77
  6. Step 6: Final answer
    x = 18,519.28

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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.