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Finding the Fourth Proportional to 16,157.88, 22,298.94 and 10,107.18

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Solution

The fourth proportional to 16,157.88, 22,298.94 and 10,107.18 is: 13,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,157.88 : 22,298.94 = 10,107.18 : x
  2. Step 2: Convert to fraction form
    16,157.88/22,298.94 = 10,107.18/x
  3. Step 3: Cross multiply
    16,157.88x = 22,298.94 × 10,107.18
  4. Step 4: Simplify right side
    16,157.88x = 225,379,400.39
  5. Step 5: Solve for x
    x = 225,379,400.39/16,157.88
  6. Step 6: Final answer
    x = 13,948.57

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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.