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Finding the Fourth Proportional to 27,225.85, 40,840.31 and 9,695.68

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Solution

The fourth proportional to 27,225.85, 40,840.31 and 9,695.68 is: 14,544.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,225.85 : 40,840.31 = 9,695.68 : x
  2. Step 2: Convert to fraction form
    27,225.85/40,840.31 = 9,695.68/x
  3. Step 3: Cross multiply
    27,225.85x = 40,840.31 × 9,695.68
  4. Step 4: Simplify right side
    27,225.85x = 395,974,426.28
  5. Step 5: Solve for x
    x = 395,974,426.28/27,225.85
  6. Step 6: Final answer
    x = 14,544.06

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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.