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Finding the Fourth Proportional to 21,805.77, 32,714.13 and 8,653.80

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Solution

The fourth proportional to 21,805.77, 32,714.13 and 8,653.80 is: 12,982.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,805.77 : 32,714.13 = 8,653.80 : x
  2. Step 2: Convert to fraction form
    21,805.77/32,714.13 = 8,653.80/x
  3. Step 3: Cross multiply
    21,805.77x = 32,714.13 × 8,653.80
  4. Step 4: Simplify right side
    21,805.77x = 283,101,538.19
  5. Step 5: Solve for x
    x = 283,101,538.19/21,805.77
  6. Step 6: Final answer
    x = 12,982.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.