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Finding the Fourth Proportional to 21,513.63, 32,257.69 and 8,187.63

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Solution

The fourth proportional to 21,513.63, 32,257.69 and 8,187.63 is: 12,276.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,513.63 : 32,257.69 = 8,187.63 : x
  2. Step 2: Convert to fraction form
    21,513.63/32,257.69 = 8,187.63/x
  3. Step 3: Cross multiply
    21,513.63x = 32,257.69 × 8,187.63
  4. Step 4: Simplify right side
    21,513.63x = 264,114,009.91
  5. Step 5: Solve for x
    x = 264,114,009.91/21,513.63
  6. Step 6: Final answer
    x = 12,276.59

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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.