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Finding the Fourth Proportional to 21,858, 32,778.36 and 10,756.56

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Solution

The fourth proportional to 21,858, 32,778.36 and 10,756.56 is: 16,130.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,858 : 32,778.36 = 10,756.56 : x
  2. Step 2: Convert to fraction form
    21,858/32,778.36 = 10,756.56/x
  3. Step 3: Cross multiply
    21,858x = 32,778.36 × 10,756.56
  4. Step 4: Simplify right side
    21,858x = 352,582,396.04
  5. Step 5: Solve for x
    x = 352,582,396.04/21,858
  6. Step 6: Final answer
    x = 16,130.59

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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.