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Finding the Fourth Proportional to 15,821.60, 21,833.12 and 8,651.33

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Solution

The fourth proportional to 15,821.60, 21,833.12 and 8,651.33 is: 11,938.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821.60 : 21,833.12 = 8,651.33 : x
  2. Step 2: Convert to fraction form
    15,821.60/21,833.12 = 8,651.33/x
  3. Step 3: Cross multiply
    15,821.60x = 21,833.12 × 8,651.33
  4. Step 4: Simplify right side
    15,821.60x = 188,885,526.05
  5. Step 5: Solve for x
    x = 188,885,526.05/15,821.60
  6. Step 6: Final answer
    x = 11,938.46

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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.