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Finding the Fourth Proportional to 16,542.96, 22,762.59 and 16,149.30

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Solution

The fourth proportional to 16,542.96, 22,762.59 and 16,149.30 is: 22,220.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.96 : 22,762.59 = 16,149.30 : x
  2. Step 2: Convert to fraction form
    16,542.96/22,762.59 = 16,149.30/x
  3. Step 3: Cross multiply
    16,542.96x = 22,762.59 × 16,149.30
  4. Step 4: Simplify right side
    16,542.96x = 367,599,894.69
  5. Step 5: Solve for x
    x = 367,599,894.69/16,542.96
  6. Step 6: Final answer
    x = 22,220.93

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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.