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Finding the Fourth Proportional to 22,107.60, 30,535.90 and 16,048.16

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Solution

The fourth proportional to 22,107.60, 30,535.90 and 16,048.16 is: 22,166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,107.60 : 30,535.90 = 16,048.16 : x
  2. Step 2: Convert to fraction form
    22,107.60/30,535.90 = 16,048.16/x
  3. Step 3: Cross multiply
    22,107.60x = 30,535.90 × 16,048.16
  4. Step 4: Simplify right side
    22,107.60x = 490,045,008.94
  5. Step 5: Solve for x
    x = 490,045,008.94/22,107.60
  6. Step 6: Final answer
    x = 22,166.36

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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.