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Finding the Fourth Proportional to 22,874.50, 31,567.37 and 12,802.86

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Solution

The fourth proportional to 22,874.50, 31,567.37 and 12,802.86 is: 17,668.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,874.50 : 31,567.37 = 12,802.86 : x
  2. Step 2: Convert to fraction form
    22,874.50/31,567.37 = 12,802.86/x
  3. Step 3: Cross multiply
    22,874.50x = 31,567.37 × 12,802.86
  4. Step 4: Simplify right side
    22,874.50x = 404,152,460.84
  5. Step 5: Solve for x
    x = 404,152,460.84/22,874.50
  6. Step 6: Final answer
    x = 17,668.26

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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.