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Finding the Fourth Proportional to 24,384.42, 33,650.55 and 13,206.42

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Solution

The fourth proportional to 24,384.42, 33,650.55 and 13,206.42 is: 18,224.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.42 : 33,650.55 = 13,206.42 : x
  2. Step 2: Convert to fraction form
    24,384.42/33,650.55 = 13,206.42/x
  3. Step 3: Cross multiply
    24,384.42x = 33,650.55 × 13,206.42
  4. Step 4: Simplify right side
    24,384.42x = 444,403,296.53
  5. Step 5: Solve for x
    x = 444,403,296.53/24,384.42
  6. Step 6: Final answer
    x = 18,224.89

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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.