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Finding the Fourth Proportional to 19,819.60, 27,328.44 and 15,838

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Solution

The fourth proportional to 19,819.60, 27,328.44 and 15,838 is: 21,838.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,819.60 : 27,328.44 = 15,838 : x
  2. Step 2: Convert to fraction form
    19,819.60/27,328.44 = 15,838/x
  3. Step 3: Cross multiply
    19,819.60x = 27,328.44 × 15,838
  4. Step 4: Simplify right side
    19,819.60x = 432,827,832.72
  5. Step 5: Solve for x
    x = 432,827,832.72/19,819.60
  6. Step 6: Final answer
    x = 21,838.37

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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.