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Finding the Fourth Proportional to 15,115.23, 20,858.01 and 8,400.42

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Solution

The fourth proportional to 15,115.23, 20,858.01 and 8,400.42 is: 11,592.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,115.23 : 20,858.01 = 8,400.42 : x
  2. Step 2: Convert to fraction form
    15,115.23/20,858.01 = 8,400.42/x
  3. Step 3: Cross multiply
    15,115.23x = 20,858.01 × 8,400.42
  4. Step 4: Simplify right side
    15,115.23x = 175,216,044.36
  5. Step 5: Solve for x
    x = 175,216,044.36/15,115.23
  6. Step 6: Final answer
    x = 11,592.02

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