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Finding the Fourth Proportional to 24,073.84, 33,223.53 and 13,464.46

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Solution

The fourth proportional to 24,073.84, 33,223.53 and 13,464.46 is: 18,581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,073.84 : 33,223.53 = 13,464.46 : x
  2. Step 2: Convert to fraction form
    24,073.84/33,223.53 = 13,464.46/x
  3. Step 3: Cross multiply
    24,073.84x = 33,223.53 × 13,464.46
  4. Step 4: Simplify right side
    24,073.84x = 447,336,890.74
  5. Step 5: Solve for x
    x = 447,336,890.74/24,073.84
  6. Step 6: Final answer
    x = 18,581.87

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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.