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Finding the Fourth Proportional to 13,618.16, 20,428.50 and 5,298.81

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Solution

The fourth proportional to 13,618.16, 20,428.50 and 5,298.81 is: 7,948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,618.16 : 20,428.50 = 5,298.81 : x
  2. Step 2: Convert to fraction form
    13,618.16/20,428.50 = 5,298.81/x
  3. Step 3: Cross multiply
    13,618.16x = 20,428.50 × 5,298.81
  4. Step 4: Simplify right side
    13,618.16x = 108,246,740.09
  5. Step 5: Solve for x
    x = 108,246,740.09/13,618.16
  6. Step 6: Final answer
    x = 7,948.71

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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.