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Finding the Fourth Proportional to 13,581.77, 18,742.78 and 7,613.44

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Solution

The fourth proportional to 13,581.77, 18,742.78 and 7,613.44 is: 10,506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,581.77 : 18,742.78 = 7,613.44 : x
  2. Step 2: Convert to fraction form
    13,581.77/18,742.78 = 7,613.44/x
  3. Step 3: Cross multiply
    13,581.77x = 18,742.78 × 7,613.44
  4. Step 4: Simplify right side
    13,581.77x = 142,697,041.39
  5. Step 5: Solve for x
    x = 142,697,041.39/13,581.77
  6. Step 6: Final answer
    x = 10,506.51

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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.