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Finding the Fourth Proportional to 19,673, 27,148.74 and 10,841

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Solution

The fourth proportional to 19,673, 27,148.74 and 10,841 is: 14,960.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,673 : 27,148.74 = 10,841 : x
  2. Step 2: Convert to fraction form
    19,673/27,148.74 = 10,841/x
  3. Step 3: Cross multiply
    19,673x = 27,148.74 × 10,841
  4. Step 4: Simplify right side
    19,673x = 294,319,490.34
  5. Step 5: Solve for x
    x = 294,319,490.34/19,673
  6. Step 6: Final answer
    x = 14,960.58

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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.