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Finding the Fourth Proportional to 14,496.64, 21,741.36 and 4,108.48

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Solution

The fourth proportional to 14,496.64, 21,741.36 and 4,108.48 is: 6,161.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.64 : 21,741.36 = 4,108.48 : x
  2. Step 2: Convert to fraction form
    14,496.64/21,741.36 = 4,108.48/x
  3. Step 3: Cross multiply
    14,496.64x = 21,741.36 × 4,108.48
  4. Step 4: Simplify right side
    14,496.64x = 89,323,942.73
  5. Step 5: Solve for x
    x = 89,323,942.73/14,496.64
  6. Step 6: Final answer
    x = 6,161.70

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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.