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Finding the Fourth Proportional to 15,230.40, 22,842.80 and 6,908.41

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Solution

The fourth proportional to 15,230.40, 22,842.80 and 6,908.41 is: 10,361.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,230.40 : 22,842.80 = 6,908.41 : x
  2. Step 2: Convert to fraction form
    15,230.40/22,842.80 = 6,908.41/x
  3. Step 3: Cross multiply
    15,230.40x = 22,842.80 × 6,908.41
  4. Step 4: Simplify right side
    15,230.40x = 157,807,427.95
  5. Step 5: Solve for x
    x = 157,807,427.95/15,230.40
  6. Step 6: Final answer
    x = 10,361.34

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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.