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Finding the Fourth Proportional to 12,334.77, 17,022.06 and 7,029.81

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Solution

The fourth proportional to 12,334.77, 17,022.06 and 7,029.81 is: 9,701.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,334.77 : 17,022.06 = 7,029.81 : x
  2. Step 2: Convert to fraction form
    12,334.77/17,022.06 = 7,029.81/x
  3. Step 3: Cross multiply
    12,334.77x = 17,022.06 × 7,029.81
  4. Step 4: Simplify right side
    12,334.77x = 119,661,847.61
  5. Step 5: Solve for x
    x = 119,661,847.61/12,334.77
  6. Step 6: Final answer
    x = 9,701.18

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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.