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Finding the Fourth Proportional to 16,309.24, 22,506.76 and 8,857.24

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Solution

The fourth proportional to 16,309.24, 22,506.76 and 8,857.24 is: 12,223.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.24 : 22,506.76 = 8,857.24 : x
  2. Step 2: Convert to fraction form
    16,309.24/22,506.76 = 8,857.24/x
  3. Step 3: Cross multiply
    16,309.24x = 22,506.76 × 8,857.24
  4. Step 4: Simplify right side
    16,309.24x = 199,347,774.94
  5. Step 5: Solve for x
    x = 199,347,774.94/16,309.24
  6. Step 6: Final answer
    x = 12,223.00

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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.