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Finding the Fourth Proportional to 19,768.64, 29,649.53 and 9,239.60

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Solution

The fourth proportional to 19,768.64, 29,649.53 and 9,239.60 is: 13,857.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,768.64 : 29,649.53 = 9,239.60 : x
  2. Step 2: Convert to fraction form
    19,768.64/29,649.53 = 9,239.60/x
  3. Step 3: Cross multiply
    19,768.64x = 29,649.53 × 9,239.60
  4. Step 4: Simplify right side
    19,768.64x = 273,949,894.61
  5. Step 5: Solve for x
    x = 273,949,894.61/19,768.64
  6. Step 6: Final answer
    x = 13,857.81

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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.