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Finding the Fourth Proportional to 13,642.99, 20,464.49 and 9,024.91

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Solution

The fourth proportional to 13,642.99, 20,464.49 and 9,024.91 is: 13,537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.99 : 20,464.49 = 9,024.91 : x
  2. Step 2: Convert to fraction form
    13,642.99/20,464.49 = 9,024.91/x
  3. Step 3: Cross multiply
    13,642.99x = 20,464.49 × 9,024.91
  4. Step 4: Simplify right side
    13,642.99x = 184,690,135.32
  5. Step 5: Solve for x
    x = 184,690,135.32/13,642.99
  6. Step 6: Final answer
    x = 13,537.37

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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.