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Finding the Fourth Proportional to 19,354.92, 26,709.54 and 11,397.48

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Solution

The fourth proportional to 19,354.92, 26,709.54 and 11,397.48 is: 15,728.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,354.92 : 26,709.54 = 11,397.48 : x
  2. Step 2: Convert to fraction form
    19,354.92/26,709.54 = 11,397.48/x
  3. Step 3: Cross multiply
    19,354.92x = 26,709.54 × 11,397.48
  4. Step 4: Simplify right side
    19,354.92x = 304,421,447.96
  5. Step 5: Solve for x
    x = 304,421,447.96/19,354.92
  6. Step 6: Final answer
    x = 15,728.38

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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.