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Finding the Fourth Proportional to 15,190.53, 22,785.62 and 6,419.49

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Solution

The fourth proportional to 15,190.53, 22,785.62 and 6,419.49 is: 9,629.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,190.53 : 22,785.62 = 6,419.49 : x
  2. Step 2: Convert to fraction form
    15,190.53/22,785.62 = 6,419.49/x
  3. Step 3: Cross multiply
    15,190.53x = 22,785.62 × 6,419.49
  4. Step 4: Simplify right side
    15,190.53x = 146,272,027.64
  5. Step 5: Solve for x
    x = 146,272,027.64/15,190.53
  6. Step 6: Final answer
    x = 9,629.16

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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.