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Finding the Fourth Proportional to 19,407.38, 26,782.79 and 11,456.42

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Solution

The fourth proportional to 19,407.38, 26,782.79 and 11,456.42 is: 15,810.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,407.38 : 26,782.79 = 11,456.42 : x
  2. Step 2: Convert to fraction form
    19,407.38/26,782.79 = 11,456.42/x
  3. Step 3: Cross multiply
    19,407.38x = 26,782.79 × 11,456.42
  4. Step 4: Simplify right side
    19,407.38x = 306,834,699.82
  5. Step 5: Solve for x
    x = 306,834,699.82/19,407.38
  6. Step 6: Final answer
    x = 15,810.21

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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.