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Finding the Fourth Proportional to 21,891.60, 32,841.72 and 6,309.36

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Solution

The fourth proportional to 21,891.60, 32,841.72 and 6,309.36 is: 9,465.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,891.60 : 32,841.72 = 6,309.36 : x
  2. Step 2: Convert to fraction form
    21,891.60/32,841.72 = 6,309.36/x
  3. Step 3: Cross multiply
    21,891.60x = 32,841.72 × 6,309.36
  4. Step 4: Simplify right side
    21,891.60x = 207,210,234.50
  5. Step 5: Solve for x
    x = 207,210,234.50/21,891.60
  6. Step 6: Final answer
    x = 9,465.29

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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.