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Finding the Fourth Proportional to 14,864.00, 20,512.96 and 8,894.52

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Solution

The fourth proportional to 14,864.00, 20,512.96 and 8,894.52 is: 12,274.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,864.00 : 20,512.96 = 8,894.52 : x
  2. Step 2: Convert to fraction form
    14,864.00/20,512.96 = 8,894.52/x
  3. Step 3: Cross multiply
    14,864.00x = 20,512.96 × 8,894.52
  4. Step 4: Simplify right side
    14,864.00x = 182,452,910.74
  5. Step 5: Solve for x
    x = 182,452,910.74/14,864.00
  6. Step 6: Final answer
    x = 12,274.82

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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.