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Finding the Fourth Proportional to 22,883.79, 31,579.47 and 12,812.19

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Solution

The fourth proportional to 22,883.79, 31,579.47 and 12,812.19 is: 17,680.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,883.79 : 31,579.47 = 12,812.19 : x
  2. Step 2: Convert to fraction form
    22,883.79/31,579.47 = 12,812.19/x
  3. Step 3: Cross multiply
    22,883.79x = 31,579.47 × 12,812.19
  4. Step 4: Simplify right side
    22,883.79x = 404,602,169.74
  5. Step 5: Solve for x
    x = 404,602,169.74/22,883.79
  6. Step 6: Final answer
    x = 17,680.73

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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.