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Finding the Fourth Proportional to 16,465.65, 22,722.44 and 8,911.81

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Solution

The fourth proportional to 16,465.65, 22,722.44 and 8,911.81 is: 12,298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.65 : 22,722.44 = 8,911.81 : x
  2. Step 2: Convert to fraction form
    16,465.65/22,722.44 = 8,911.81/x
  3. Step 3: Cross multiply
    16,465.65x = 22,722.44 × 8,911.81
  4. Step 4: Simplify right side
    16,465.65x = 202,498,051.86
  5. Step 5: Solve for x
    x = 202,498,051.86/16,465.65
  6. Step 6: Final answer
    x = 12,298.21

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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.