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Finding the Fourth Proportional to 12,433.91, 17,159.04 and 6,768.77

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Solution

The fourth proportional to 12,433.91, 17,159.04 and 6,768.77 is: 9,341.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433.91 : 17,159.04 = 6,768.77 : x
  2. Step 2: Convert to fraction form
    12,433.91/17,159.04 = 6,768.77/x
  3. Step 3: Cross multiply
    12,433.91x = 17,159.04 × 6,768.77
  4. Step 4: Simplify right side
    12,433.91x = 116,145,509.39
  5. Step 5: Solve for x
    x = 116,145,509.39/12,433.91
  6. Step 6: Final answer
    x = 9,341.03

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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.