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Finding the Fourth Proportional to 19,342, 26,693.04 and 10,961.20

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Solution

The fourth proportional to 19,342, 26,693.04 and 10,961.20 is: 15,127.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,342 : 26,693.04 = 10,961.20 : x
  2. Step 2: Convert to fraction form
    19,342/26,693.04 = 10,961.20/x
  3. Step 3: Cross multiply
    19,342x = 26,693.04 × 10,961.20
  4. Step 4: Simplify right side
    19,342x = 292,587,750.05
  5. Step 5: Solve for x
    x = 292,587,750.05/19,342
  6. Step 6: Final answer
    x = 15,127.07

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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.