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Finding the Fourth Proportional to 15,745.08, 23,617.62 and 6,511.16

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Solution

The fourth proportional to 15,745.08, 23,617.62 and 6,511.16 is: 9,766.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,745.08 : 23,617.62 = 6,511.16 : x
  2. Step 2: Convert to fraction form
    15,745.08/23,617.62 = 6,511.16/x
  3. Step 3: Cross multiply
    15,745.08x = 23,617.62 × 6,511.16
  4. Step 4: Simplify right side
    15,745.08x = 153,778,102.64
  5. Step 5: Solve for x
    x = 153,778,102.64/15,745.08
  6. Step 6: Final answer
    x = 9,766.74

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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.