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Finding the Fourth Proportional to 26,181.78, 39,283.14 and 9,543

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Solution

The fourth proportional to 26,181.78, 39,283.14 and 9,543 is: 14,318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,181.78 : 39,283.14 = 9,543 : x
  2. Step 2: Convert to fraction form
    26,181.78/39,283.14 = 9,543/x
  3. Step 3: Cross multiply
    26,181.78x = 39,283.14 × 9,543
  4. Step 4: Simplify right side
    26,181.78x = 374,879,005.02
  5. Step 5: Solve for x
    x = 374,879,005.02/26,181.78
  6. Step 6: Final answer
    x = 14,318.32

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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.