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Finding the Fourth Proportional to 15,814.62, 21,823.52 and 9,442.25

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Solution

The fourth proportional to 15,814.62, 21,823.52 and 9,442.25 is: 13,029.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.62 : 21,823.52 = 9,442.25 : x
  2. Step 2: Convert to fraction form
    15,814.62/21,823.52 = 9,442.25/x
  3. Step 3: Cross multiply
    15,814.62x = 21,823.52 × 9,442.25
  4. Step 4: Simplify right side
    15,814.62x = 206,062,975.39
  5. Step 5: Solve for x
    x = 206,062,975.39/15,814.62
  6. Step 6: Final answer
    x = 13,029.90

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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.