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Finding the Fourth Proportional to 21,664.86, 32,501.61 and 7,814.94

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Solution

The fourth proportional to 21,664.86, 32,501.61 and 7,814.94 is: 11,723.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,664.86 : 32,501.61 = 7,814.94 : x
  2. Step 2: Convert to fraction form
    21,664.86/32,501.61 = 7,814.94/x
  3. Step 3: Cross multiply
    21,664.86x = 32,501.61 × 7,814.94
  4. Step 4: Simplify right side
    21,664.86x = 253,998,132.05
  5. Step 5: Solve for x
    x = 253,998,132.05/21,664.86
  6. Step 6: Final answer
    x = 11,723.97

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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.