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Finding the Fourth Proportional to 14,249.76, 21,369.24 and 6,852.48

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Solution

The fourth proportional to 14,249.76, 21,369.24 and 6,852.48 is: 10,276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,249.76 : 21,369.24 = 6,852.48 : x
  2. Step 2: Convert to fraction form
    14,249.76/21,369.24 = 6,852.48/x
  3. Step 3: Cross multiply
    14,249.76x = 21,369.24 × 6,852.48
  4. Step 4: Simplify right side
    14,249.76x = 146,432,289.72
  5. Step 5: Solve for x
    x = 146,432,289.72/14,249.76
  6. Step 6: Final answer
    x = 10,276.12

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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.