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Finding the Fourth Proportional to 17,721.84, 24,455.04 and 9,763.64

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Solution

The fourth proportional to 17,721.84, 24,455.04 and 9,763.64 is: 13,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,721.84 : 24,455.04 = 9,763.64 : x
  2. Step 2: Convert to fraction form
    17,721.84/24,455.04 = 9,763.64/x
  3. Step 3: Cross multiply
    17,721.84x = 24,455.04 × 9,763.64
  4. Step 4: Simplify right side
    17,721.84x = 238,770,206.75
  5. Step 5: Solve for x
    x = 238,770,206.75/17,721.84
  6. Step 6: Final answer
    x = 13,473.22

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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.