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Finding the Fourth Proportional to 24,074.69, 33,224.81 and 13,467.74

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Solution

The fourth proportional to 24,074.69, 33,224.81 and 13,467.74 is: 18,586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,074.69 : 33,224.81 = 13,467.74 : x
  2. Step 2: Convert to fraction form
    24,074.69/33,224.81 = 13,467.74/x
  3. Step 3: Cross multiply
    24,074.69x = 33,224.81 × 13,467.74
  4. Step 4: Simplify right side
    24,074.69x = 447,462,869.17
  5. Step 5: Solve for x
    x = 447,462,869.17/24,074.69
  6. Step 6: Final answer
    x = 18,586.45

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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.