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Finding the Fourth Proportional to 22,983.84, 34,474.50 and 6,343.98

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Solution

The fourth proportional to 22,983.84, 34,474.50 and 6,343.98 is: 9,515.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,983.84 : 34,474.50 = 6,343.98 : x
  2. Step 2: Convert to fraction form
    22,983.84/34,474.50 = 6,343.98/x
  3. Step 3: Cross multiply
    22,983.84x = 34,474.50 × 6,343.98
  4. Step 4: Simplify right side
    22,983.84x = 218,705,538.51
  5. Step 5: Solve for x
    x = 218,705,538.51/22,983.84
  6. Step 6: Final answer
    x = 9,515.62

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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.