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Finding the Fourth Proportional to 14,612.25, 20,164.91 and 7,988.25

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Solution

The fourth proportional to 14,612.25, 20,164.91 and 7,988.25 is: 11,023.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,612.25 : 20,164.91 = 7,988.25 : x
  2. Step 2: Convert to fraction form
    14,612.25/20,164.91 = 7,988.25/x
  3. Step 3: Cross multiply
    14,612.25x = 20,164.91 × 7,988.25
  4. Step 4: Simplify right side
    14,612.25x = 161,082,302.37
  5. Step 5: Solve for x
    x = 161,082,302.37/14,612.25
  6. Step 6: Final answer
    x = 11,023.79

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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.