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Finding the Fourth Proportional to 22,452.64, 30,991.44 and 13,023.52

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Solution

The fourth proportional to 22,452.64, 30,991.44 and 13,023.52 is: 17,976.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,452.64 : 30,991.44 = 13,023.52 : x
  2. Step 2: Convert to fraction form
    22,452.64/30,991.44 = 13,023.52/x
  3. Step 3: Cross multiply
    22,452.64x = 30,991.44 × 13,023.52
  4. Step 4: Simplify right side
    22,452.64x = 403,617,638.67
  5. Step 5: Solve for x
    x = 403,617,638.67/22,452.64
  6. Step 6: Final answer
    x = 17,976.40

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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.