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Finding the Fourth Proportional to 14,673.85, 20,218.22 and 9,949.93

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Solution

The fourth proportional to 14,673.85, 20,218.22 and 9,949.93 is: 13,709.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,673.85 : 20,218.22 = 9,949.93 : x
  2. Step 2: Convert to fraction form
    14,673.85/20,218.22 = 9,949.93/x
  3. Step 3: Cross multiply
    14,673.85x = 20,218.22 × 9,949.93
  4. Step 4: Simplify right side
    14,673.85x = 201,169,772.63
  5. Step 5: Solve for x
    x = 201,169,772.63/14,673.85
  6. Step 6: Final answer
    x = 13,709.41

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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.