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Finding the Fourth Proportional to 17,778.60, 24,526.86 and 10,223.22

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Solution

The fourth proportional to 17,778.60, 24,526.86 and 10,223.22 is: 14,103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.60 : 24,526.86 = 10,223.22 : x
  2. Step 2: Convert to fraction form
    17,778.60/24,526.86 = 10,223.22/x
  3. Step 3: Cross multiply
    17,778.60x = 24,526.86 × 10,223.22
  4. Step 4: Simplify right side
    17,778.60x = 250,743,485.69
  5. Step 5: Solve for x
    x = 250,743,485.69/17,778.60
  6. Step 6: Final answer
    x = 14,103.67

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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.