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Finding the Fourth Proportional to 23,173.92, 31,956 and 19,827.80

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Solution

The fourth proportional to 23,173.92, 31,956 and 19,827.80 is: 27,341.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,173.92 : 31,956 = 19,827.80 : x
  2. Step 2: Convert to fraction form
    23,173.92/31,956 = 19,827.80/x
  3. Step 3: Cross multiply
    23,173.92x = 31,956 × 19,827.80
  4. Step 4: Simplify right side
    23,173.92x = 633,617,176.80
  5. Step 5: Solve for x
    x = 633,617,176.80/23,173.92
  6. Step 6: Final answer
    x = 27,341.82

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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.