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Finding the Fourth Proportional to 26,938.93, 40,411.01 and 9,182.11

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Solution

The fourth proportional to 26,938.93, 40,411.01 and 9,182.11 is: 13,774.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,938.93 : 40,411.01 = 9,182.11 : x
  2. Step 2: Convert to fraction form
    26,938.93/40,411.01 = 9,182.11/x
  3. Step 3: Cross multiply
    26,938.93x = 40,411.01 × 9,182.11
  4. Step 4: Simplify right side
    26,938.93x = 371,058,339.03
  5. Step 5: Solve for x
    x = 371,058,339.03/26,938.93
  6. Step 6: Final answer
    x = 13,774.06

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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.