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Finding the Fourth Proportional to 22,518, 33,777.12 and 6,102

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Solution

The fourth proportional to 22,518, 33,777.12 and 6,102 is: 9,153.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,518 : 33,777.12 = 6,102 : x
  2. Step 2: Convert to fraction form
    22,518/33,777.12 = 6,102/x
  3. Step 3: Cross multiply
    22,518x = 33,777.12 × 6,102
  4. Step 4: Simplify right side
    22,518x = 206,107,986.24
  5. Step 5: Solve for x
    x = 206,107,986.24/22,518
  6. Step 6: Final answer
    x = 9,153.03

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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.