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Finding the Fourth Proportional to 19,921, 27,490.98 and 11,089

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Solution

The fourth proportional to 19,921, 27,490.98 and 11,089 is: 15,302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,921 : 27,490.98 = 11,089 : x
  2. Step 2: Convert to fraction form
    19,921/27,490.98 = 11,089/x
  3. Step 3: Cross multiply
    19,921x = 27,490.98 × 11,089
  4. Step 4: Simplify right side
    19,921x = 304,847,477.22
  5. Step 5: Solve for x
    x = 304,847,477.22/19,921
  6. Step 6: Final answer
    x = 15,302.82

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Why These Related Problems?

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