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Finding the Fourth Proportional to 21,802.67, 32,704.65 and 6,007.94

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Solution

The fourth proportional to 21,802.67, 32,704.65 and 6,007.94 is: 9,012.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,802.67 : 32,704.65 = 6,007.94 : x
  2. Step 2: Convert to fraction form
    21,802.67/32,704.65 = 6,007.94/x
  3. Step 3: Cross multiply
    21,802.67x = 32,704.65 × 6,007.94
  4. Step 4: Simplify right side
    21,802.67x = 196,487,656.68
  5. Step 5: Solve for x
    x = 196,487,656.68/21,802.67
  6. Step 6: Final answer
    x = 9,012.09

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Why These Related Problems?

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