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Finding the Fourth Proportional to 22,810.75, 31,478.84 and 12,874.75

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Solution

The fourth proportional to 22,810.75, 31,478.84 and 12,874.75 is: 17,767.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,810.75 : 31,478.84 = 12,874.75 : x
  2. Step 2: Convert to fraction form
    22,810.75/31,478.84 = 12,874.75/x
  3. Step 3: Cross multiply
    22,810.75x = 31,478.84 × 12,874.75
  4. Step 4: Simplify right side
    22,810.75x = 405,282,195.29
  5. Step 5: Solve for x
    x = 405,282,195.29/22,810.75
  6. Step 6: Final answer
    x = 17,767.16

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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.