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Finding the Fourth Proportional to 16,352.66, 22,560.52 and 9,977.02

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Solution

The fourth proportional to 16,352.66, 22,560.52 and 9,977.02 is: 13,764.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,352.66 : 22,560.52 = 9,977.02 : x
  2. Step 2: Convert to fraction form
    16,352.66/22,560.52 = 9,977.02/x
  3. Step 3: Cross multiply
    16,352.66x = 22,560.52 × 9,977.02
  4. Step 4: Simplify right side
    16,352.66x = 225,086,759.25
  5. Step 5: Solve for x
    x = 225,086,759.25/16,352.66
  6. Step 6: Final answer
    x = 13,764.53

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1.5x scale

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.