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Finding the Fourth Proportional to 14,194.94, 19,588.29 and 8,228.55

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Solution

The fourth proportional to 14,194.94, 19,588.29 and 8,228.55 is: 11,354.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.94 : 19,588.29 = 8,228.55 : x
  2. Step 2: Convert to fraction form
    14,194.94/19,588.29 = 8,228.55/x
  3. Step 3: Cross multiply
    14,194.94x = 19,588.29 × 8,228.55
  4. Step 4: Simplify right side
    14,194.94x = 161,183,223.68
  5. Step 5: Solve for x
    x = 161,183,223.68/14,194.94
  6. Step 6: Final answer
    x = 11,354.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.