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Finding the Fourth Proportional to 13,901.48, 20,839.26 and 4,661

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Solution

The fourth proportional to 13,901.48, 20,839.26 and 4,661 is: 6,987.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,901.48 : 20,839.26 = 4,661 : x
  2. Step 2: Convert to fraction form
    13,901.48/20,839.26 = 4,661/x
  3. Step 3: Cross multiply
    13,901.48x = 20,839.26 × 4,661
  4. Step 4: Simplify right side
    13,901.48x = 97,131,790.86
  5. Step 5: Solve for x
    x = 97,131,790.86/13,901.48
  6. Step 6: Final answer
    x = 6,987.15

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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.