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Finding the Fourth Proportional to 17,241, 23,792.61 and 9,789

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Solution

The fourth proportional to 17,241, 23,792.61 and 9,789 is: 13,508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,241 : 23,792.61 = 9,789 : x
  2. Step 2: Convert to fraction form
    17,241/23,792.61 = 9,789/x
  3. Step 3: Cross multiply
    17,241x = 23,792.61 × 9,789
  4. Step 4: Simplify right side
    17,241x = 232,905,859.29
  5. Step 5: Solve for x
    x = 232,905,859.29/17,241
  6. Step 6: Final answer
    x = 13,508.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.