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Finding the Fourth Proportional to 19,802, 27,326.76 and 10,970

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Solution

The fourth proportional to 19,802, 27,326.76 and 10,970 is: 15,138.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802 : 27,326.76 = 10,970 : x
  2. Step 2: Convert to fraction form
    19,802/27,326.76 = 10,970/x
  3. Step 3: Cross multiply
    19,802x = 27,326.76 × 10,970
  4. Step 4: Simplify right side
    19,802x = 299,774,557.20
  5. Step 5: Solve for x
    x = 299,774,557.20/19,802
  6. Step 6: Final answer
    x = 15,138.60

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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.