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Finding the Fourth Proportional to 27,408, 37,823.04 and 14,832.84

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Solution

The fourth proportional to 27,408, 37,823.04 and 14,832.84 is: 20,469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,408 : 37,823.04 = 14,832.84 : x
  2. Step 2: Convert to fraction form
    27,408/37,823.04 = 14,832.84/x
  3. Step 3: Cross multiply
    27,408x = 37,823.04 × 14,832.84
  4. Step 4: Simplify right side
    27,408x = 561,023,100.63
  5. Step 5: Solve for x
    x = 561,023,100.63/27,408
  6. Step 6: Final answer
    x = 20,469.32

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1.5x scale

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.