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Finding the Fourth Proportional to 22,874.60, 31,564.86 and 12,803.24

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Solution

The fourth proportional to 22,874.60, 31,564.86 and 12,803.24 is: 17,667.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,874.60 : 31,564.86 = 12,803.24 : x
  2. Step 2: Convert to fraction form
    22,874.60/31,564.86 = 12,803.24/x
  3. Step 3: Cross multiply
    22,874.60x = 31,564.86 × 12,803.24
  4. Step 4: Simplify right side
    22,874.60x = 404,132,478.15
  5. Step 5: Solve for x
    x = 404,132,478.15/22,874.60
  6. Step 6: Final answer
    x = 17,667.30

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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.