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Finding the Fourth Proportional to 21,768.25, 32,652.74 and 9,456.25

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Solution

The fourth proportional to 21,768.25, 32,652.74 and 9,456.25 is: 14,184.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,768.25 : 32,652.74 = 9,456.25 : x
  2. Step 2: Convert to fraction form
    21,768.25/32,652.74 = 9,456.25/x
  3. Step 3: Cross multiply
    21,768.25x = 32,652.74 × 9,456.25
  4. Step 4: Simplify right side
    21,768.25x = 308,772,472.63
  5. Step 5: Solve for x
    x = 308,772,472.63/21,768.25
  6. Step 6: Final answer
    x = 14,184.53

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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.