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Finding the Fourth Proportional to 24,055.48, 33,198.18 and 13,447

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Solution

The fourth proportional to 24,055.48, 33,198.18 and 13,447 is: 18,557.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,055.48 : 33,198.18 = 13,447 : x
  2. Step 2: Convert to fraction form
    24,055.48/33,198.18 = 13,447/x
  3. Step 3: Cross multiply
    24,055.48x = 33,198.18 × 13,447
  4. Step 4: Simplify right side
    24,055.48x = 446,415,926.46
  5. Step 5: Solve for x
    x = 446,415,926.46/24,055.48
  6. Step 6: Final answer
    x = 18,557.76

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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.