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Finding the Fourth Proportional to 19,754, 27,260.16 and 11,798

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Solution

The fourth proportional to 19,754, 27,260.16 and 11,798 is: 16,281.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,754 : 27,260.16 = 11,798 : x
  2. Step 2: Convert to fraction form
    19,754/27,260.16 = 11,798/x
  3. Step 3: Cross multiply
    19,754x = 27,260.16 × 11,798
  4. Step 4: Simplify right side
    19,754x = 321,615,367.68
  5. Step 5: Solve for x
    x = 321,615,367.68/19,754
  6. Step 6: Final answer
    x = 16,281.02

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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.