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Finding the Fourth Proportional to 19,588.64, 29,369.04 and 9,194.72

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Solution

The fourth proportional to 19,588.64, 29,369.04 and 9,194.72 is: 13,785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,588.64 : 29,369.04 = 9,194.72 : x
  2. Step 2: Convert to fraction form
    19,588.64/29,369.04 = 9,194.72/x
  3. Step 3: Cross multiply
    19,588.64x = 29,369.04 × 9,194.72
  4. Step 4: Simplify right side
    19,588.64x = 270,040,099.47
  5. Step 5: Solve for x
    x = 270,040,099.47/19,588.64
  6. Step 6: Final answer
    x = 13,785.55

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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.