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Finding the Fourth Proportional to 24,538, 36,792.96 and 11,383.60

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Solution

The fourth proportional to 24,538, 36,792.96 and 11,383.60 is: 17,068.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538 : 36,792.96 = 11,383.60 : x
  2. Step 2: Convert to fraction form
    24,538/36,792.96 = 11,383.60/x
  3. Step 3: Cross multiply
    24,538x = 36,792.96 × 11,383.60
  4. Step 4: Simplify right side
    24,538x = 418,836,339.46
  5. Step 5: Solve for x
    x = 418,836,339.46/24,538
  6. Step 6: Final answer
    x = 17,068.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.