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Finding the Fourth Proportional to 14,788.48, 22,186.86 and 6,469.24

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Solution

The fourth proportional to 14,788.48, 22,186.86 and 6,469.24 is: 9,705.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,788.48 : 22,186.86 = 6,469.24 : x
  2. Step 2: Convert to fraction form
    14,788.48/22,186.86 = 6,469.24/x
  3. Step 3: Cross multiply
    14,788.48x = 22,186.86 × 6,469.24
  4. Step 4: Simplify right side
    14,788.48x = 143,532,122.19
  5. Step 5: Solve for x
    x = 143,532,122.19/14,788.48
  6. Step 6: Final answer
    x = 9,705.67

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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.