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Finding the Fourth Proportional to 14,842.31, 22,274.73 and 5,491.17

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Solution

The fourth proportional to 14,842.31, 22,274.73 and 5,491.17 is: 8,240.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.31 : 22,274.73 = 5,491.17 : x
  2. Step 2: Convert to fraction form
    14,842.31/22,274.73 = 5,491.17/x
  3. Step 3: Cross multiply
    14,842.31x = 22,274.73 × 5,491.17
  4. Step 4: Simplify right side
    14,842.31x = 122,314,329.13
  5. Step 5: Solve for x
    x = 122,314,329.13/14,842.31
  6. Step 6: Final answer
    x = 8,240.93

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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.