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Finding the Fourth Proportional to 23,208.72, 34,813.04 and 8,417.60

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Solution

The fourth proportional to 23,208.72, 34,813.04 and 8,417.60 is: 12,626.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,208.72 : 34,813.04 = 8,417.60 : x
  2. Step 2: Convert to fraction form
    23,208.72/34,813.04 = 8,417.60/x
  3. Step 3: Cross multiply
    23,208.72x = 34,813.04 × 8,417.60
  4. Step 4: Simplify right side
    23,208.72x = 293,042,029.35
  5. Step 5: Solve for x
    x = 293,042,029.35/23,208.72
  6. Step 6: Final answer
    x = 12,626.38

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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.