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Finding the Fourth Proportional to 24,289, 33,522.02 and 13,680.69

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Solution

The fourth proportional to 24,289, 33,522.02 and 13,680.69 is: 18,881.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,289 : 33,522.02 = 13,680.69 : x
  2. Step 2: Convert to fraction form
    24,289/33,522.02 = 13,680.69/x
  3. Step 3: Cross multiply
    24,289x = 33,522.02 × 13,680.69
  4. Step 4: Simplify right side
    24,289x = 458,604,363.79
  5. Step 5: Solve for x
    x = 458,604,363.79/24,289
  6. Step 6: Final answer
    x = 18,881.15

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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.