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Finding the Fourth Proportional to 15,893.43, 23,811.07 and 7,444.42

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Solution

The fourth proportional to 15,893.43, 23,811.07 and 7,444.42 is: 11,153.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,893.43 : 23,811.07 = 7,444.42 : x
  2. Step 2: Convert to fraction form
    15,893.43/23,811.07 = 7,444.42/x
  3. Step 3: Cross multiply
    15,893.43x = 23,811.07 × 7,444.42
  4. Step 4: Simplify right side
    15,893.43x = 177,259,605.73
  5. Step 5: Solve for x
    x = 177,259,605.73/15,893.43
  6. Step 6: Final answer
    x = 11,153.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.