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Finding the Fourth Proportional to 13,344.01, 18,416.07 and 11,461.81

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Solution

The fourth proportional to 13,344.01, 18,416.07 and 11,461.81 is: 15,818.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,344.01 : 18,416.07 = 11,461.81 : x
  2. Step 2: Convert to fraction form
    13,344.01/18,416.07 = 11,461.81/x
  3. Step 3: Cross multiply
    13,344.01x = 18,416.07 × 11,461.81
  4. Step 4: Simplify right side
    13,344.01x = 211,081,449.25
  5. Step 5: Solve for x
    x = 211,081,449.25/13,344.01
  6. Step 6: Final answer
    x = 15,818.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.