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Finding the Fourth Proportional to 21,563.69, 32,345.53 and 5,981.31

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Solution

The fourth proportional to 21,563.69, 32,345.53 and 5,981.31 is: 8,971.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,563.69 : 32,345.53 = 5,981.31 : x
  2. Step 2: Convert to fraction form
    21,563.69/32,345.53 = 5,981.31/x
  3. Step 3: Cross multiply
    21,563.69x = 32,345.53 × 5,981.31
  4. Step 4: Simplify right side
    21,563.69x = 193,468,737.86
  5. Step 5: Solve for x
    x = 193,468,737.86/21,563.69
  6. Step 6: Final answer
    x = 8,971.97

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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.