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Finding the Fourth Proportional to 27,185.40, 40,768.31 and 9,411.23

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Solution

The fourth proportional to 27,185.40, 40,768.31 and 9,411.23 is: 14,113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,185.40 : 40,768.31 = 9,411.23 : x
  2. Step 2: Convert to fraction form
    27,185.40/40,768.31 = 9,411.23/x
  3. Step 3: Cross multiply
    27,185.40x = 40,768.31 × 9,411.23
  4. Step 4: Simplify right side
    27,185.40x = 383,679,942.12
  5. Step 5: Solve for x
    x = 383,679,942.12/27,185.40
  6. Step 6: Final answer
    x = 14,113.46

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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.