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Finding the Fourth Proportional to 19,499.16, 29,253 and 9,105.24

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Solution

The fourth proportional to 19,499.16, 29,253 and 9,105.24 is: 13,659.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,499.16 : 29,253 = 9,105.24 : x
  2. Step 2: Convert to fraction form
    19,499.16/29,253 = 9,105.24/x
  3. Step 3: Cross multiply
    19,499.16x = 29,253 × 9,105.24
  4. Step 4: Simplify right side
    19,499.16x = 266,355,585.72
  5. Step 5: Solve for x
    x = 266,355,585.72/19,499.16
  6. Step 6: Final answer
    x = 13,659.85

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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.