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Finding the Fourth Proportional to 15,493.42, 21,380.16 and 8,419.60

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Solution

The fourth proportional to 15,493.42, 21,380.16 and 8,419.60 is: 11,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,493.42 : 21,380.16 = 8,419.60 : x
  2. Step 2: Convert to fraction form
    15,493.42/21,380.16 = 8,419.60/x
  3. Step 3: Cross multiply
    15,493.42x = 21,380.16 × 8,419.60
  4. Step 4: Simplify right side
    15,493.42x = 180,012,395.14
  5. Step 5: Solve for x
    x = 180,012,395.14/15,493.42
  6. Step 6: Final answer
    x = 11,618.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.