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Finding the Fourth Proportional to 19,456.08, 29,180.88 and 7,766.16

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Solution

The fourth proportional to 19,456.08, 29,180.88 and 7,766.16 is: 11,647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,456.08 : 29,180.88 = 7,766.16 : x
  2. Step 2: Convert to fraction form
    19,456.08/29,180.88 = 7,766.16/x
  3. Step 3: Cross multiply
    19,456.08x = 29,180.88 × 7,766.16
  4. Step 4: Simplify right side
    19,456.08x = 226,623,383.02
  5. Step 5: Solve for x
    x = 226,623,383.02/19,456.08
  6. Step 6: Final answer
    x = 11,647.95

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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.