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Finding the Fourth Proportional to 23,212.32, 34,796.98 and 8,417.27

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Solution

The fourth proportional to 23,212.32, 34,796.98 and 8,417.27 is: 12,618.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,212.32 : 34,796.98 = 8,417.27 : x
  2. Step 2: Convert to fraction form
    23,212.32/34,796.98 = 8,417.27/x
  3. Step 3: Cross multiply
    23,212.32x = 34,796.98 × 8,417.27
  4. Step 4: Simplify right side
    23,212.32x = 292,895,359.77
  5. Step 5: Solve for x
    x = 292,895,359.77/23,212.32
  6. Step 6: Final answer
    x = 12,618.10

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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.