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Finding the Fourth Proportional to 21,467.64, 32,206.32 and 7,616.64

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Solution

The fourth proportional to 21,467.64, 32,206.32 and 7,616.64 is: 11,426.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,467.64 : 32,206.32 = 7,616.64 : x
  2. Step 2: Convert to fraction form
    21,467.64/32,206.32 = 7,616.64/x
  3. Step 3: Cross multiply
    21,467.64x = 32,206.32 × 7,616.64
  4. Step 4: Simplify right side
    21,467.64x = 245,303,945.16
  5. Step 5: Solve for x
    x = 245,303,945.16/21,467.64
  6. Step 6: Final answer
    x = 11,426.68

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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.