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Finding the Fourth Proportional to 24,017.68, 33,147.74 and 13,408

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Solution

The fourth proportional to 24,017.68, 33,147.74 and 13,408 is: 18,504.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,017.68 : 33,147.74 = 13,408 : x
  2. Step 2: Convert to fraction form
    24,017.68/33,147.74 = 13,408/x
  3. Step 3: Cross multiply
    24,017.68x = 33,147.74 × 13,408
  4. Step 4: Simplify right side
    24,017.68x = 444,444,897.92
  5. Step 5: Solve for x
    x = 444,444,897.92/24,017.68
  6. Step 6: Final answer
    x = 18,504.91

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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.