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Finding the Fourth Proportional to 16,055.57, 22,156.85 and 9,682.49

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Solution

The fourth proportional to 16,055.57, 22,156.85 and 9,682.49 is: 13,361.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,055.57 : 22,156.85 = 9,682.49 : x
  2. Step 2: Convert to fraction form
    16,055.57/22,156.85 = 9,682.49/x
  3. Step 3: Cross multiply
    16,055.57x = 22,156.85 × 9,682.49
  4. Step 4: Simplify right side
    16,055.57x = 214,533,430.14
  5. Step 5: Solve for x
    x = 214,533,430.14/16,055.57
  6. Step 6: Final answer
    x = 13,361.93

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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.