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Finding the Fourth Proportional to 18,689.93, 25,792.09 and 10,306.43

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Solution

The fourth proportional to 18,689.93, 25,792.09 and 10,306.43 is: 14,222.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,689.93 : 25,792.09 = 10,306.43 : x
  2. Step 2: Convert to fraction form
    18,689.93/25,792.09 = 10,306.43/x
  3. Step 3: Cross multiply
    18,689.93x = 25,792.09 × 10,306.43
  4. Step 4: Simplify right side
    18,689.93x = 265,824,370.14
  5. Step 5: Solve for x
    x = 265,824,370.14/18,689.93
  6. Step 6: Final answer
    x = 14,222.87

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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.