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Finding the Fourth Proportional to 11,817.84, 17,710.56 and 11,463.06

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Solution

The fourth proportional to 11,817.84, 17,710.56 and 11,463.06 is: 17,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.84 : 17,710.56 = 11,463.06 : x
  2. Step 2: Convert to fraction form
    11,817.84/17,710.56 = 11,463.06/x
  3. Step 3: Cross multiply
    11,817.84x = 17,710.56 × 11,463.06
  4. Step 4: Simplify right side
    11,817.84x = 203,017,211.91
  5. Step 5: Solve for x
    x = 203,017,211.91/11,817.84
  6. Step 6: Final answer
    x = 17,178.88

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