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Finding the Fourth Proportional to 15,765.76, 23,632.67 and 10,222.62

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Solution

The fourth proportional to 15,765.76, 23,632.67 and 10,222.62 is: 15,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.76 : 23,632.67 = 10,222.62 : x
  2. Step 2: Convert to fraction form
    15,765.76/23,632.67 = 10,222.62/x
  3. Step 3: Cross multiply
    15,765.76x = 23,632.67 × 10,222.62
  4. Step 4: Simplify right side
    15,765.76x = 241,587,805.00
  5. Step 5: Solve for x
    x = 241,587,805.00/15,765.76
  6. Step 6: Final answer
    x = 15,323.57

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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.