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Finding the Fourth Proportional to 27,742.36, 38,288 and 15,810

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Solution

The fourth proportional to 27,742.36, 38,288 and 15,810 is: 21,819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,742.36 : 38,288 = 15,810 : x
  2. Step 2: Convert to fraction form
    27,742.36/38,288 = 15,810/x
  3. Step 3: Cross multiply
    27,742.36x = 38,288 × 15,810
  4. Step 4: Simplify right side
    27,742.36x = 605,333,280
  5. Step 5: Solve for x
    x = 605,333,280/27,742.36
  6. Step 6: Final answer
    x = 21,819.82

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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.