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Finding the Fourth Proportional to 20,237.15, 27,920.09 and 13,527

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Solution

The fourth proportional to 20,237.15, 27,920.09 and 13,527 is: 18,662.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,237.15 : 27,920.09 = 13,527 : x
  2. Step 2: Convert to fraction form
    20,237.15/27,920.09 = 13,527/x
  3. Step 3: Cross multiply
    20,237.15x = 27,920.09 × 13,527
  4. Step 4: Simplify right side
    20,237.15x = 377,674,989.80
  5. Step 5: Solve for x
    x = 377,674,989.80/20,237.15
  6. Step 6: Final answer
    x = 18,662.46

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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.