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Finding the Fourth Proportional to 14,655.30, 20,223.08 and 8,282.44

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Solution

The fourth proportional to 14,655.30, 20,223.08 and 8,282.44 is: 11,429.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,655.30 : 20,223.08 = 8,282.44 : x
  2. Step 2: Convert to fraction form
    14,655.30/20,223.08 = 8,282.44/x
  3. Step 3: Cross multiply
    14,655.30x = 20,223.08 × 8,282.44
  4. Step 4: Simplify right side
    14,655.30x = 167,496,446.72
  5. Step 5: Solve for x
    x = 167,496,446.72/14,655.30
  6. Step 6: Final answer
    x = 11,429.07

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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.