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Finding the Fourth Proportional to 14,186.94, 21,285 and 9,266.19

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Solution

The fourth proportional to 14,186.94, 21,285 and 9,266.19 is: 13,902.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186.94 : 21,285 = 9,266.19 : x
  2. Step 2: Convert to fraction form
    14,186.94/21,285 = 9,266.19/x
  3. Step 3: Cross multiply
    14,186.94x = 21,285 × 9,266.19
  4. Step 4: Simplify right side
    14,186.94x = 197,230,854.15
  5. Step 5: Solve for x
    x = 197,230,854.15/14,186.94
  6. Step 6: Final answer
    x = 13,902.28

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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.