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Finding the Fourth Proportional to 22,571.46, 31,149.78 and 12,501

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Solution

The fourth proportional to 22,571.46, 31,149.78 and 12,501 is: 17,252.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,571.46 : 31,149.78 = 12,501 : x
  2. Step 2: Convert to fraction form
    22,571.46/31,149.78 = 12,501/x
  3. Step 3: Cross multiply
    22,571.46x = 31,149.78 × 12,501
  4. Step 4: Simplify right side
    22,571.46x = 389,403,399.78
  5. Step 5: Solve for x
    x = 389,403,399.78/22,571.46
  6. Step 6: Final answer
    x = 17,252.03

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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.