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Finding the Fourth Proportional to 22,534.84, 31,097.50 and 12,463.03

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Solution

The fourth proportional to 22,534.84, 31,097.50 and 12,463.03 is: 17,198.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,534.84 : 31,097.50 = 12,463.03 : x
  2. Step 2: Convert to fraction form
    22,534.84/31,097.50 = 12,463.03/x
  3. Step 3: Cross multiply
    22,534.84x = 31,097.50 × 12,463.03
  4. Step 4: Simplify right side
    22,534.84x = 387,568,919.94
  5. Step 5: Solve for x
    x = 387,568,919.94/22,534.84
  6. Step 6: Final answer
    x = 17,198.66

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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.