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Finding the Fourth Proportional to 15,891.18, 21,926.53 and 8,816.10

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Solution

The fourth proportional to 15,891.18, 21,926.53 and 8,816.10 is: 12,164.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.18 : 21,926.53 = 8,816.10 : x
  2. Step 2: Convert to fraction form
    15,891.18/21,926.53 = 8,816.10/x
  3. Step 3: Cross multiply
    15,891.18x = 21,926.53 × 8,816.10
  4. Step 4: Simplify right side
    15,891.18x = 193,306,481.13
  5. Step 5: Solve for x
    x = 193,306,481.13/15,891.18
  6. Step 6: Final answer
    x = 12,164.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.