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Finding the Fourth Proportional to 21,362.40, 32,048.64 and 8,215.20

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Solution

The fourth proportional to 21,362.40, 32,048.64 and 8,215.20 is: 12,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,362.40 : 32,048.64 = 8,215.20 : x
  2. Step 2: Convert to fraction form
    21,362.40/32,048.64 = 8,215.20/x
  3. Step 3: Cross multiply
    21,362.40x = 32,048.64 × 8,215.20
  4. Step 4: Simplify right side
    21,362.40x = 263,285,987.33
  5. Step 5: Solve for x
    x = 263,285,987.33/21,362.40
  6. Step 6: Final answer
    x = 12,324.74

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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.