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Finding the Fourth Proportional to 16,107.63, 22,228.47 and 9,034.08

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Solution

The fourth proportional to 16,107.63, 22,228.47 and 9,034.08 is: 12,467.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,107.63 : 22,228.47 = 9,034.08 : x
  2. Step 2: Convert to fraction form
    16,107.63/22,228.47 = 9,034.08/x
  3. Step 3: Cross multiply
    16,107.63x = 22,228.47 × 9,034.08
  4. Step 4: Simplify right side
    16,107.63x = 200,813,776.26
  5. Step 5: Solve for x
    x = 200,813,776.26/16,107.63
  6. Step 6: Final answer
    x = 12,467.00

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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.