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Finding the Fourth Proportional to 24,512, 33,826.64 and 13,334

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Solution

The fourth proportional to 24,512, 33,826.64 and 13,334 is: 18,400.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,512 : 33,826.64 = 13,334 : x
  2. Step 2: Convert to fraction form
    24,512/33,826.64 = 13,334/x
  3. Step 3: Cross multiply
    24,512x = 33,826.64 × 13,334
  4. Step 4: Simplify right side
    24,512x = 451,044,417.76
  5. Step 5: Solve for x
    x = 451,044,417.76/24,512
  6. Step 6: Final answer
    x = 18,400.96

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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.