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Finding the Fourth Proportional to 17,061.84, 23,546.84 and 9,894.42

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Solution

The fourth proportional to 17,061.84, 23,546.84 and 9,894.42 is: 13,655.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,061.84 : 23,546.84 = 9,894.42 : x
  2. Step 2: Convert to fraction form
    17,061.84/23,546.84 = 9,894.42/x
  3. Step 3: Cross multiply
    17,061.84x = 23,546.84 × 9,894.42
  4. Step 4: Simplify right side
    17,061.84x = 232,982,275.16
  5. Step 5: Solve for x
    x = 232,982,275.16/17,061.84
  6. Step 6: Final answer
    x = 13,655.17

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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.