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Finding the Fourth Proportional to 23,466.08, 35,200.20 and 9,614

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Solution

The fourth proportional to 23,466.08, 35,200.20 and 9,614 is: 14,421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,466.08 : 35,200.20 = 9,614 : x
  2. Step 2: Convert to fraction form
    23,466.08/35,200.20 = 9,614/x
  3. Step 3: Cross multiply
    23,466.08x = 35,200.20 × 9,614
  4. Step 4: Simplify right side
    23,466.08x = 338,414,722.80
  5. Step 5: Solve for x
    x = 338,414,722.80/23,466.08
  6. Step 6: Final answer
    x = 14,421.44

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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.