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Finding the Fourth Proportional to 14,719.82, 20,313.16 and 8,005.31

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Solution

The fourth proportional to 14,719.82, 20,313.16 and 8,005.31 is: 11,047.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,719.82 : 20,313.16 = 8,005.31 : x
  2. Step 2: Convert to fraction form
    14,719.82/20,313.16 = 8,005.31/x
  3. Step 3: Cross multiply
    14,719.82x = 20,313.16 × 8,005.31
  4. Step 4: Simplify right side
    14,719.82x = 162,613,021.30
  5. Step 5: Solve for x
    x = 162,613,021.30/14,719.82
  6. Step 6: Final answer
    x = 11,047.21

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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.