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Finding the Fourth Proportional to 27,504.80, 41,256.96 and 9,968

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Solution

The fourth proportional to 27,504.80, 41,256.96 and 9,968 is: 14,951.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,504.80 : 41,256.96 = 9,968 : x
  2. Step 2: Convert to fraction form
    27,504.80/41,256.96 = 9,968/x
  3. Step 3: Cross multiply
    27,504.80x = 41,256.96 × 9,968
  4. Step 4: Simplify right side
    27,504.80x = 411,249,377.28
  5. Step 5: Solve for x
    x = 411,249,377.28/27,504.80
  6. Step 6: Final answer
    x = 14,951.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.