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Finding the Fourth Proportional to 21,849.60, 32,776.80 and 8,001.60

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Solution

The fourth proportional to 21,849.60, 32,776.80 and 8,001.60 is: 12,003.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,849.60 : 32,776.80 = 8,001.60 : x
  2. Step 2: Convert to fraction form
    21,849.60/32,776.80 = 8,001.60/x
  3. Step 3: Cross multiply
    21,849.60x = 32,776.80 × 8,001.60
  4. Step 4: Simplify right side
    21,849.60x = 262,266,842.88
  5. Step 5: Solve for x
    x = 262,266,842.88/21,849.60
  6. Step 6: Final answer
    x = 12,003.28

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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.