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Finding the Fourth Proportional to 16,309.51, 22,507.14 and 8,857.51

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Solution

The fourth proportional to 16,309.51, 22,507.14 and 8,857.51 is: 12,223.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.51 : 22,507.14 = 8,857.51 : x
  2. Step 2: Convert to fraction form
    16,309.51/22,507.14 = 8,857.51/x
  3. Step 3: Cross multiply
    16,309.51x = 22,507.14 × 8,857.51
  4. Step 4: Simplify right side
    16,309.51x = 199,357,217.62
  5. Step 5: Solve for x
    x = 199,357,217.62/16,309.51
  6. Step 6: Final answer
    x = 12,223.37

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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.