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Finding the Fourth Proportional to 14,652.31, 20,221.64 and 8,365.63

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Solution

The fourth proportional to 14,652.31, 20,221.64 and 8,365.63 is: 11,545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652.31 : 20,221.64 = 8,365.63 : x
  2. Step 2: Convert to fraction form
    14,652.31/20,221.64 = 8,365.63/x
  3. Step 3: Cross multiply
    14,652.31x = 20,221.64 × 8,365.63
  4. Step 4: Simplify right side
    14,652.31x = 169,166,758.23
  5. Step 5: Solve for x
    x = 169,166,758.23/14,652.31
  6. Step 6: Final answer
    x = 11,545.40

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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.