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Finding the Fourth Proportional to 16,651.83, 22,977.39 and 9,482.70

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Solution

The fourth proportional to 16,651.83, 22,977.39 and 9,482.70 is: 13,084.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,651.83 : 22,977.39 = 9,482.70 : x
  2. Step 2: Convert to fraction form
    16,651.83/22,977.39 = 9,482.70/x
  3. Step 3: Cross multiply
    16,651.83x = 22,977.39 × 9,482.70
  4. Step 4: Simplify right side
    16,651.83x = 217,887,696.15
  5. Step 5: Solve for x
    x = 217,887,696.15/16,651.83
  6. Step 6: Final answer
    x = 13,084.91

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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.