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Finding the Fourth Proportional to 23,805.96, 35,705.82 and 6,277.17

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Solution

The fourth proportional to 23,805.96, 35,705.82 and 6,277.17 is: 9,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805.96 : 35,705.82 = 6,277.17 : x
  2. Step 2: Convert to fraction form
    23,805.96/35,705.82 = 6,277.17/x
  3. Step 3: Cross multiply
    23,805.96x = 35,705.82 × 6,277.17
  4. Step 4: Simplify right side
    23,805.96x = 224,131,502.13
  5. Step 5: Solve for x
    x = 224,131,502.13/23,805.96
  6. Step 6: Final answer
    x = 9,414.93

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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.