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Finding the Fourth Proportional to 19,828.36, 29,693.94 and 9,415

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Solution

The fourth proportional to 19,828.36, 29,693.94 and 9,415 is: 14,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828.36 : 29,693.94 = 9,415 : x
  2. Step 2: Convert to fraction form
    19,828.36/29,693.94 = 9,415/x
  3. Step 3: Cross multiply
    19,828.36x = 29,693.94 × 9,415
  4. Step 4: Simplify right side
    19,828.36x = 279,568,445.10
  5. Step 5: Solve for x
    x = 279,568,445.10/19,828.36
  6. Step 6: Final answer
    x = 14,099.42

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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.