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Finding the Fourth Proportional to 14,857.66, 20,512.89 and 9,561.68

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Solution

The fourth proportional to 14,857.66, 20,512.89 and 9,561.68 is: 13,201.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,857.66 : 20,512.89 = 9,561.68 : x
  2. Step 2: Convert to fraction form
    14,857.66/20,512.89 = 9,561.68/x
  3. Step 3: Cross multiply
    14,857.66x = 20,512.89 × 9,561.68
  4. Step 4: Simplify right side
    14,857.66x = 196,137,690.06
  5. Step 5: Solve for x
    x = 196,137,690.06/14,857.66
  6. Step 6: Final answer
    x = 13,201.12

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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.