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Finding the Fourth Proportional to 22,874.32, 31,566.72 and 12,803.69

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Solution

The fourth proportional to 22,874.32, 31,566.72 and 12,803.69 is: 17,669.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,874.32 : 31,566.72 = 12,803.69 : x
  2. Step 2: Convert to fraction form
    22,874.32/31,566.72 = 12,803.69/x
  3. Step 3: Cross multiply
    22,874.32x = 31,566.72 × 12,803.69
  4. Step 4: Simplify right side
    22,874.32x = 404,170,497.20
  5. Step 5: Solve for x
    x = 404,170,497.20/22,874.32
  6. Step 6: Final answer
    x = 17,669.18

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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.