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Finding the Fourth Proportional to 27,876.48, 41,820.48 and 9,408

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Solution

The fourth proportional to 27,876.48, 41,820.48 and 9,408 is: 14,113.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876.48 : 41,820.48 = 9,408 : x
  2. Step 2: Convert to fraction form
    27,876.48/41,820.48 = 9,408/x
  3. Step 3: Cross multiply
    27,876.48x = 41,820.48 × 9,408
  4. Step 4: Simplify right side
    27,876.48x = 393,447,075.84
  5. Step 5: Solve for x
    x = 393,447,075.84/27,876.48
  6. Step 6: Final answer
    x = 14,113.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.