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Finding the Fourth Proportional to 17,219.81, 25,839.68 and 7,223.66

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Solution

The fourth proportional to 17,219.81, 25,839.68 and 7,223.66 is: 10,839.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,219.81 : 25,839.68 = 7,223.66 : x
  2. Step 2: Convert to fraction form
    17,219.81/25,839.68 = 7,223.66/x
  3. Step 3: Cross multiply
    17,219.81x = 25,839.68 × 7,223.66
  4. Step 4: Simplify right side
    17,219.81x = 186,657,062.83
  5. Step 5: Solve for x
    x = 186,657,062.83/17,219.81
  6. Step 6: Final answer
    x = 10,839.67

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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.