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Finding the Fourth Proportional to 38,405.13, 57,607.69 and 9,221.13

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Solution

The fourth proportional to 38,405.13, 57,607.69 and 9,221.13 is: 13,831.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,405.13 : 57,607.69 = 9,221.13 : x
  2. Step 2: Convert to fraction form
    38,405.13/57,607.69 = 9,221.13/x
  3. Step 3: Cross multiply
    38,405.13x = 57,607.69 × 9,221.13
  4. Step 4: Simplify right side
    38,405.13x = 531,207,998.49
  5. Step 5: Solve for x
    x = 531,207,998.49/38,405.13
  6. Step 6: Final answer
    x = 13,831.69

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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.