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Finding the Fourth Proportional to 17,263.91, 25,894.64 and 9,845.12

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Solution

The fourth proportional to 17,263.91, 25,894.64 and 9,845.12 is: 14,766.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,263.91 : 25,894.64 = 9,845.12 : x
  2. Step 2: Convert to fraction form
    17,263.91/25,894.64 = 9,845.12/x
  3. Step 3: Cross multiply
    17,263.91x = 25,894.64 × 9,845.12
  4. Step 4: Simplify right side
    17,263.91x = 254,935,659.46
  5. Step 5: Solve for x
    x = 254,935,659.46/17,263.91
  6. Step 6: Final answer
    x = 14,766.98

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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.