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Finding the Fourth Proportional to 13,817.84, 20,712.48 and 6,416.26

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Solution

The fourth proportional to 13,817.84, 20,712.48 and 6,416.26 is: 9,617.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.84 : 20,712.48 = 6,416.26 : x
  2. Step 2: Convert to fraction form
    13,817.84/20,712.48 = 6,416.26/x
  3. Step 3: Cross multiply
    13,817.84x = 20,712.48 × 6,416.26
  4. Step 4: Simplify right side
    13,817.84x = 132,896,656.92
  5. Step 5: Solve for x
    x = 132,896,656.92/13,817.84
  6. Step 6: Final answer
    x = 9,617.76

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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.