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Finding the Fourth Proportional to 13,614.54, 20,421.81 and 9,221.10

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Solution

The fourth proportional to 13,614.54, 20,421.81 and 9,221.10 is: 13,831.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.54 : 20,421.81 = 9,221.10 : x
  2. Step 2: Convert to fraction form
    13,614.54/20,421.81 = 9,221.10/x
  3. Step 3: Cross multiply
    13,614.54x = 20,421.81 × 9,221.10
  4. Step 4: Simplify right side
    13,614.54x = 188,311,552.19
  5. Step 5: Solve for x
    x = 188,311,552.19/13,614.54
  6. Step 6: Final answer
    x = 13,831.65

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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.