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Finding the Fourth Proportional to 19,641.76, 27,105.62 and 11,258.26

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Solution

The fourth proportional to 19,641.76, 27,105.62 and 11,258.26 is: 15,536.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,641.76 : 27,105.62 = 11,258.26 : x
  2. Step 2: Convert to fraction form
    19,641.76/27,105.62 = 11,258.26/x
  3. Step 3: Cross multiply
    19,641.76x = 27,105.62 × 11,258.26
  4. Step 4: Simplify right side
    19,641.76x = 305,162,117.42
  5. Step 5: Solve for x
    x = 305,162,117.42/19,641.76
  6. Step 6: Final answer
    x = 15,536.39

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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.