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Finding the Fourth Proportional to 27,642.46, 38,152.76 and 17,568.94

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Solution

The fourth proportional to 27,642.46, 38,152.76 and 17,568.94 is: 24,249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,642.46 : 38,152.76 = 17,568.94 : x
  2. Step 2: Convert to fraction form
    27,642.46/38,152.76 = 17,568.94/x
  3. Step 3: Cross multiply
    27,642.46x = 38,152.76 × 17,568.94
  4. Step 4: Simplify right side
    27,642.46x = 670,303,551.27
  5. Step 5: Solve for x
    x = 670,303,551.27/27,642.46
  6. Step 6: Final answer
    x = 24,249.06

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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.