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Finding the Fourth Proportional to 13,613.19, 20,419.71 and 5,298.99

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Solution

The fourth proportional to 13,613.19, 20,419.71 and 5,298.99 is: 7,948.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.19 : 20,419.71 = 5,298.99 : x
  2. Step 2: Convert to fraction form
    13,613.19/20,419.71 = 5,298.99/x
  3. Step 3: Cross multiply
    13,613.19x = 20,419.71 × 5,298.99
  4. Step 4: Simplify right side
    13,613.19x = 108,203,839.09
  5. Step 5: Solve for x
    x = 108,203,839.09/13,613.19
  6. Step 6: Final answer
    x = 7,948.46

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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.