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Finding the Fourth Proportional to 22,874.62, 31,567.54 and 12,802.98

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Solution

The fourth proportional to 22,874.62, 31,567.54 and 12,802.98 is: 17,668.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,874.62 : 31,567.54 = 12,802.98 : x
  2. Step 2: Convert to fraction form
    22,874.62/31,567.54 = 12,802.98/x
  3. Step 3: Cross multiply
    22,874.62x = 31,567.54 × 12,802.98
  4. Step 4: Simplify right side
    22,874.62x = 404,158,583.27
  5. Step 5: Solve for x
    x = 404,158,583.27/22,874.62
  6. Step 6: Final answer
    x = 17,668.43

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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.