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Finding the Fourth Proportional to 24,073.84, 33,222.36 and 13,464.64

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Solution

The fourth proportional to 24,073.84, 33,222.36 and 13,464.64 is: 18,581.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,073.84 : 33,222.36 = 13,464.64 : x
  2. Step 2: Convert to fraction form
    24,073.84/33,222.36 = 13,464.64/x
  3. Step 3: Cross multiply
    24,073.84x = 33,222.36 × 13,464.64
  4. Step 4: Simplify right side
    24,073.84x = 447,327,117.35
  5. Step 5: Solve for x
    x = 447,327,117.35/24,073.84
  6. Step 6: Final answer
    x = 18,581.46

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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.