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Finding the Fourth Proportional to 21,982.51, 32,975.25 and 8,834.86

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Solution

The fourth proportional to 21,982.51, 32,975.25 and 8,834.86 is: 13,252.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,982.51 : 32,975.25 = 8,834.86 : x
  2. Step 2: Convert to fraction form
    21,982.51/32,975.25 = 8,834.86/x
  3. Step 3: Cross multiply
    21,982.51x = 32,975.25 × 8,834.86
  4. Step 4: Simplify right side
    21,982.51x = 291,331,717.22
  5. Step 5: Solve for x
    x = 291,331,717.22/21,982.51
  6. Step 6: Final answer
    x = 13,252.89

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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.