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Finding the Fourth Proportional to 28,586.25, 42,894 and 13,610.31

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Solution

The fourth proportional to 28,586.25, 42,894 and 13,610.31 is: 20,422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,586.25 : 42,894 = 13,610.31 : x
  2. Step 2: Convert to fraction form
    28,586.25/42,894 = 13,610.31/x
  3. Step 3: Cross multiply
    28,586.25x = 42,894 × 13,610.31
  4. Step 4: Simplify right side
    28,586.25x = 583,800,637.14
  5. Step 5: Solve for x
    x = 583,800,637.14/28,586.25
  6. Step 6: Final answer
    x = 20,422.43

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