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Finding the Fourth Proportional to 22,552.28, 31,137.46 and 14,057.80

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Solution

The fourth proportional to 22,552.28, 31,137.46 and 14,057.80 is: 19,409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,552.28 : 31,137.46 = 14,057.80 : x
  2. Step 2: Convert to fraction form
    22,552.28/31,137.46 = 14,057.80/x
  3. Step 3: Cross multiply
    22,552.28x = 31,137.46 × 14,057.80
  4. Step 4: Simplify right side
    22,552.28x = 437,724,185.19
  5. Step 5: Solve for x
    x = 437,724,185.19/22,552.28
  6. Step 6: Final answer
    x = 19,409.31

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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.