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Finding the Fourth Proportional to 13,814.10, 20,721.15 and 6,416.64

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Solution

The fourth proportional to 13,814.10, 20,721.15 and 6,416.64 is: 9,624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.10 : 20,721.15 = 6,416.64 : x
  2. Step 2: Convert to fraction form
    13,814.10/20,721.15 = 6,416.64/x
  3. Step 3: Cross multiply
    13,814.10x = 20,721.15 × 6,416.64
  4. Step 4: Simplify right side
    13,814.10x = 132,960,159.94
  5. Step 5: Solve for x
    x = 132,960,159.94/13,814.10
  6. Step 6: Final answer
    x = 9,624.96

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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.