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Finding the Fourth Proportional to 15,765.76, 23,632.17 and 6,402.03

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Solution

The fourth proportional to 15,765.76, 23,632.17 and 6,402.03 is: 9,596.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.76 : 23,632.17 = 6,402.03 : x
  2. Step 2: Convert to fraction form
    15,765.76/23,632.17 = 6,402.03/x
  3. Step 3: Cross multiply
    15,765.76x = 23,632.17 × 6,402.03
  4. Step 4: Simplify right side
    15,765.76x = 151,293,861.31
  5. Step 5: Solve for x
    x = 151,293,861.31/15,765.76
  6. Step 6: Final answer
    x = 9,596.36

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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.