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Finding the Fourth Proportional to 22,023.20, 32,986.20 and 21,537.20

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Solution

The fourth proportional to 22,023.20, 32,986.20 and 21,537.20 is: 32,258.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,023.20 : 32,986.20 = 21,537.20 : x
  2. Step 2: Convert to fraction form
    22,023.20/32,986.20 = 21,537.20/x
  3. Step 3: Cross multiply
    22,023.20x = 32,986.20 × 21,537.20
  4. Step 4: Simplify right side
    22,023.20x = 710,430,386.64
  5. Step 5: Solve for x
    x = 710,430,386.64/22,023.20
  6. Step 6: Final answer
    x = 32,258.27

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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.