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Finding the Fourth Proportional to 17,701.94, 24,428.62 and 9,744.17

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Solution

The fourth proportional to 17,701.94, 24,428.62 and 9,744.17 is: 13,446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,701.94 : 24,428.62 = 9,744.17 : x
  2. Step 2: Convert to fraction form
    17,701.94/24,428.62 = 9,744.17/x
  3. Step 3: Cross multiply
    17,701.94x = 24,428.62 × 9,744.17
  4. Step 4: Simplify right side
    17,701.94x = 238,036,626.15
  5. Step 5: Solve for x
    x = 238,036,626.15/17,701.94
  6. Step 6: Final answer
    x = 13,446.92

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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.