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Finding the Fourth Proportional to 27,983.36, 38,617 and 15,408

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Solution

The fourth proportional to 27,983.36, 38,617 and 15,408 is: 21,263.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,983.36 : 38,617 = 15,408 : x
  2. Step 2: Convert to fraction form
    27,983.36/38,617 = 15,408/x
  3. Step 3: Cross multiply
    27,983.36x = 38,617 × 15,408
  4. Step 4: Simplify right side
    27,983.36x = 595,010,736
  5. Step 5: Solve for x
    x = 595,010,736/27,983.36
  6. Step 6: Final answer
    x = 21,263.02

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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.