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Finding the Fourth Proportional to 17,526.50, 24,188.69 and 9,974.67

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Solution

The fourth proportional to 17,526.50, 24,188.69 and 9,974.67 is: 13,766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,526.50 : 24,188.69 = 9,974.67 : x
  2. Step 2: Convert to fraction form
    17,526.50/24,188.69 = 9,974.67/x
  3. Step 3: Cross multiply
    17,526.50x = 24,188.69 × 9,974.67
  4. Step 4: Simplify right side
    17,526.50x = 241,274,079.54
  5. Step 5: Solve for x
    x = 241,274,079.54/17,526.50
  6. Step 6: Final answer
    x = 13,766.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.