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Finding the Fourth Proportional to 20,665.01, 30,997.52 and 9,565.63

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Solution

The fourth proportional to 20,665.01, 30,997.52 and 9,565.63 is: 14,348.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,665.01 : 30,997.52 = 9,565.63 : x
  2. Step 2: Convert to fraction form
    20,665.01/30,997.52 = 9,565.63/x
  3. Step 3: Cross multiply
    20,665.01x = 30,997.52 × 9,565.63
  4. Step 4: Simplify right side
    20,665.01x = 296,510,807.24
  5. Step 5: Solve for x
    x = 296,510,807.24/20,665.01
  6. Step 6: Final answer
    x = 14,348.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.