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Finding the Fourth Proportional to 14,671.13, 20,262.56 and 9,947.21

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Solution

The fourth proportional to 14,671.13, 20,262.56 and 9,947.21 is: 13,738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,671.13 : 20,262.56 = 9,947.21 : x
  2. Step 2: Convert to fraction form
    14,671.13/20,262.56 = 9,947.21/x
  3. Step 3: Cross multiply
    14,671.13x = 20,262.56 × 9,947.21
  4. Step 4: Simplify right side
    14,671.13x = 201,555,788.41
  5. Step 5: Solve for x
    x = 201,555,788.41/14,671.13
  6. Step 6: Final answer
    x = 13,738.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.