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Finding the Fourth Proportional to 14,652.14, 20,214.90 and 8,277.94

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Solution

The fourth proportional to 14,652.14, 20,214.90 and 8,277.94 is: 11,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652.14 : 20,214.90 = 8,277.94 : x
  2. Step 2: Convert to fraction form
    14,652.14/20,214.90 = 8,277.94/x
  3. Step 3: Cross multiply
    14,652.14x = 20,214.90 × 8,277.94
  4. Step 4: Simplify right side
    14,652.14x = 167,337,729.31
  5. Step 5: Solve for x
    x = 167,337,729.31/14,652.14
  6. Step 6: Final answer
    x = 11,420.70

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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.