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Finding the Fourth Proportional to 15,763.30, 23,616.15 and 9,600.10

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Solution

The fourth proportional to 15,763.30, 23,616.15 and 9,600.10 is: 14,382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,763.30 : 23,616.15 = 9,600.10 : x
  2. Step 2: Convert to fraction form
    15,763.30/23,616.15 = 9,600.10/x
  3. Step 3: Cross multiply
    15,763.30x = 23,616.15 × 9,600.10
  4. Step 4: Simplify right side
    15,763.30x = 226,717,401.62
  5. Step 5: Solve for x
    x = 226,717,401.62/15,763.30
  6. Step 6: Final answer
    x = 14,382.61

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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.