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Finding the Fourth Proportional to 19,509.12, 29,268 and 5,658.24

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Solution

The fourth proportional to 19,509.12, 29,268 and 5,658.24 is: 8,488.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,509.12 : 29,268 = 5,658.24 : x
  2. Step 2: Convert to fraction form
    19,509.12/29,268 = 5,658.24/x
  3. Step 3: Cross multiply
    19,509.12x = 29,268 × 5,658.24
  4. Step 4: Simplify right side
    19,509.12x = 165,605,368.32
  5. Step 5: Solve for x
    x = 165,605,368.32/19,509.12
  6. Step 6: Final answer
    x = 8,488.61

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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.