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Finding the Fourth Proportional to 14,553.19, 20,067.51 and 9,829.27

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Solution

The fourth proportional to 14,553.19, 20,067.51 and 9,829.27 is: 13,553.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,553.19 : 20,067.51 = 9,829.27 : x
  2. Step 2: Convert to fraction form
    14,553.19/20,067.51 = 9,829.27/x
  3. Step 3: Cross multiply
    14,553.19x = 20,067.51 × 9,829.27
  4. Step 4: Simplify right side
    14,553.19x = 197,248,974.02
  5. Step 5: Solve for x
    x = 197,248,974.02/14,553.19
  6. Step 6: Final answer
    x = 13,553.66

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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.