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Finding the Fourth Proportional to 17,221.81, 25,842.68 and 7,225.66

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Solution

The fourth proportional to 17,221.81, 25,842.68 and 7,225.66 is: 10,842.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,221.81 : 25,842.68 = 7,225.66 : x
  2. Step 2: Convert to fraction form
    17,221.81/25,842.68 = 7,225.66/x
  3. Step 3: Cross multiply
    17,221.81x = 25,842.68 × 7,225.66
  4. Step 4: Simplify right side
    17,221.81x = 186,730,419.17
  5. Step 5: Solve for x
    x = 186,730,419.17/17,221.81
  6. Step 6: Final answer
    x = 10,842.67

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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.