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Finding the Fourth Proportional to 19,828.49, 27,355.82 and 12,658.68

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Solution

The fourth proportional to 19,828.49, 27,355.82 and 12,658.68 is: 17,464.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828.49 : 27,355.82 = 12,658.68 : x
  2. Step 2: Convert to fraction form
    19,828.49/27,355.82 = 12,658.68/x
  3. Step 3: Cross multiply
    19,828.49x = 27,355.82 × 12,658.68
  4. Step 4: Simplify right side
    19,828.49x = 346,288,508.22
  5. Step 5: Solve for x
    x = 346,288,508.22/19,828.49
  6. Step 6: Final answer
    x = 17,464.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.