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Finding the Fourth Proportional to 15,103.88, 20,844.24 and 9,442.16

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Solution

The fourth proportional to 15,103.88, 20,844.24 and 9,442.16 is: 13,030.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,103.88 : 20,844.24 = 9,442.16 : x
  2. Step 2: Convert to fraction form
    15,103.88/20,844.24 = 9,442.16/x
  3. Step 3: Cross multiply
    15,103.88x = 20,844.24 × 9,442.16
  4. Step 4: Simplify right side
    15,103.88x = 196,814,649.16
  5. Step 5: Solve for x
    x = 196,814,649.16/15,103.88
  6. Step 6: Final answer
    x = 13,030.73

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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.