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Finding the Fourth Proportional to 15,690.72, 23,511.78 and 9,120

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Solution

The fourth proportional to 15,690.72, 23,511.78 and 9,120 is: 13,665.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,690.72 : 23,511.78 = 9,120 : x
  2. Step 2: Convert to fraction form
    15,690.72/23,511.78 = 9,120/x
  3. Step 3: Cross multiply
    15,690.72x = 23,511.78 × 9,120
  4. Step 4: Simplify right side
    15,690.72x = 214,427,433.60
  5. Step 5: Solve for x
    x = 214,427,433.60/15,690.72
  6. Step 6: Final answer
    x = 13,665.88

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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.