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Finding the Fourth Proportional to 21,646.35, 32,453.69 and 6,846.99

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Solution

The fourth proportional to 21,646.35, 32,453.69 and 6,846.99 is: 10,265.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,646.35 : 32,453.69 = 6,846.99 : x
  2. Step 2: Convert to fraction form
    21,646.35/32,453.69 = 6,846.99/x
  3. Step 3: Cross multiply
    21,646.35x = 32,453.69 × 6,846.99
  4. Step 4: Simplify right side
    21,646.35x = 222,210,056.66
  5. Step 5: Solve for x
    x = 222,210,056.66/21,646.35
  6. Step 6: Final answer
    x = 10,265.47

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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.