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Finding the Fourth Proportional to 14,663.48, 20,230.85 and 8,289.46

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Solution

The fourth proportional to 14,663.48, 20,230.85 and 8,289.46 is: 11,436.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,663.48 : 20,230.85 = 8,289.46 : x
  2. Step 2: Convert to fraction form
    14,663.48/20,230.85 = 8,289.46/x
  3. Step 3: Cross multiply
    14,663.48x = 20,230.85 × 8,289.46
  4. Step 4: Simplify right side
    14,663.48x = 167,702,679.24
  5. Step 5: Solve for x
    x = 167,702,679.24/14,663.48
  6. Step 6: Final answer
    x = 11,436.76

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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.