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Finding the Fourth Proportional to 27,457.67, 41,188.26 and 9,686.13

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Solution

The fourth proportional to 27,457.67, 41,188.26 and 9,686.13 is: 14,529.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,457.67 : 41,188.26 = 9,686.13 : x
  2. Step 2: Convert to fraction form
    27,457.67/41,188.26 = 9,686.13/x
  3. Step 3: Cross multiply
    27,457.67x = 41,188.26 × 9,686.13
  4. Step 4: Simplify right side
    27,457.67x = 398,954,840.83
  5. Step 5: Solve for x
    x = 398,954,840.83/27,457.67
  6. Step 6: Final answer
    x = 14,529.82

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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.