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Finding the Fourth Proportional to 22,466.08, 33,703.44 and 8,614

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Solution

The fourth proportional to 22,466.08, 33,703.44 and 8,614 is: 12,922.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,466.08 : 33,703.44 = 8,614 : x
  2. Step 2: Convert to fraction form
    22,466.08/33,703.44 = 8,614/x
  3. Step 3: Cross multiply
    22,466.08x = 33,703.44 × 8,614
  4. Step 4: Simplify right side
    22,466.08x = 290,321,432.16
  5. Step 5: Solve for x
    x = 290,321,432.16/22,466.08
  6. Step 6: Final answer
    x = 12,922.66

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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.