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Finding the Fourth Proportional to 22,873.86, 31,563.27 and 12,802.86

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Solution

The fourth proportional to 22,873.86, 31,563.27 and 12,802.86 is: 17,666.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,873.86 : 31,563.27 = 12,802.86 : x
  2. Step 2: Convert to fraction form
    22,873.86/31,563.27 = 12,802.86/x
  3. Step 3: Cross multiply
    22,873.86x = 31,563.27 × 12,802.86
  4. Step 4: Simplify right side
    22,873.86x = 404,100,126.95
  5. Step 5: Solve for x
    x = 404,100,126.95/22,873.86
  6. Step 6: Final answer
    x = 17,666.46

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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.