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Finding the Fourth Proportional to 14,745.24, 22,065.92 and 9,201.20

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Solution

The fourth proportional to 14,745.24, 22,065.92 and 9,201.20 is: 13,769.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,745.24 : 22,065.92 = 9,201.20 : x
  2. Step 2: Convert to fraction form
    14,745.24/22,065.92 = 9,201.20/x
  3. Step 3: Cross multiply
    14,745.24x = 22,065.92 × 9,201.20
  4. Step 4: Simplify right side
    14,745.24x = 203,032,943.10
  5. Step 5: Solve for x
    x = 203,032,943.10/14,745.24
  6. Step 6: Final answer
    x = 13,769.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.