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Finding the Fourth Proportional to 27,683.84, 38,204.16 and 15,109.12

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Solution

The fourth proportional to 27,683.84, 38,204.16 and 15,109.12 is: 20,850.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,683.84 : 38,204.16 = 15,109.12 : x
  2. Step 2: Convert to fraction form
    27,683.84/38,204.16 = 15,109.12/x
  3. Step 3: Cross multiply
    27,683.84x = 38,204.16 × 15,109.12
  4. Step 4: Simplify right side
    27,683.84x = 577,231,237.94
  5. Step 5: Solve for x
    x = 577,231,237.94/27,683.84
  6. Step 6: Final answer
    x = 20,850.84

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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.