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Finding the Fourth Proportional to 22,643.74, 33,962.98 and 6,004.92

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Solution

The fourth proportional to 22,643.74, 33,962.98 and 6,004.92 is: 9,006.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,643.74 : 33,962.98 = 6,004.92 : x
  2. Step 2: Convert to fraction form
    22,643.74/33,962.98 = 6,004.92/x
  3. Step 3: Cross multiply
    22,643.74x = 33,962.98 × 6,004.92
  4. Step 4: Simplify right side
    22,643.74x = 203,944,977.86
  5. Step 5: Solve for x
    x = 203,944,977.86/22,643.74
  6. Step 6: Final answer
    x = 9,006.68

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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.