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Finding the Fourth Proportional to 22,516.98, 31,072.17 and 12,950.47

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Solution

The fourth proportional to 22,516.98, 31,072.17 and 12,950.47 is: 17,870.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,516.98 : 31,072.17 = 12,950.47 : x
  2. Step 2: Convert to fraction form
    22,516.98/31,072.17 = 12,950.47/x
  3. Step 3: Cross multiply
    22,516.98x = 31,072.17 × 12,950.47
  4. Step 4: Simplify right side
    22,516.98x = 402,399,205.42
  5. Step 5: Solve for x
    x = 402,399,205.42/22,516.98
  6. Step 6: Final answer
    x = 17,870.92

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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.