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Finding the Fourth Proportional to 15,314.40, 22,939.38 and 7,405.56

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Solution

The fourth proportional to 15,314.40, 22,939.38 and 7,405.56 is: 11,092.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314.40 : 22,939.38 = 7,405.56 : x
  2. Step 2: Convert to fraction form
    15,314.40/22,939.38 = 7,405.56/x
  3. Step 3: Cross multiply
    15,314.40x = 22,939.38 × 7,405.56
  4. Step 4: Simplify right side
    15,314.40x = 169,878,954.95
  5. Step 5: Solve for x
    x = 169,878,954.95/15,314.40
  6. Step 6: Final answer
    x = 11,092.76

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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.