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Finding the Fourth Proportional to 14,499.16, 20,009.10 and 8,212.84

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Solution

The fourth proportional to 14,499.16, 20,009.10 and 8,212.84 is: 11,333.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,499.16 : 20,009.10 = 8,212.84 : x
  2. Step 2: Convert to fraction form
    14,499.16/20,009.10 = 8,212.84/x
  3. Step 3: Cross multiply
    14,499.16x = 20,009.10 × 8,212.84
  4. Step 4: Simplify right side
    14,499.16x = 164,331,536.84
  5. Step 5: Solve for x
    x = 164,331,536.84/14,499.16
  6. Step 6: Final answer
    x = 11,333.87

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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.