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Finding the Fourth Proportional to 14,654.14, 20,226.34 and 8,370.16

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Solution

The fourth proportional to 14,654.14, 20,226.34 and 8,370.16 is: 11,552.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654.14 : 20,226.34 = 8,370.16 : x
  2. Step 2: Convert to fraction form
    14,654.14/20,226.34 = 8,370.16/x
  3. Step 3: Cross multiply
    14,654.14x = 20,226.34 × 8,370.16
  4. Step 4: Simplify right side
    14,654.14x = 169,297,702.01
  5. Step 5: Solve for x
    x = 169,297,702.01/14,654.14
  6. Step 6: Final answer
    x = 11,552.89

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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.