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Finding the Fourth Proportional to 12,398.81, 17,110.40 and 6,733.59

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Solution

The fourth proportional to 12,398.81, 17,110.40 and 6,733.59 is: 9,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.81 : 17,110.40 = 6,733.59 : x
  2. Step 2: Convert to fraction form
    12,398.81/17,110.40 = 6,733.59/x
  3. Step 3: Cross multiply
    12,398.81x = 17,110.40 × 6,733.59
  4. Step 4: Simplify right side
    12,398.81x = 115,214,384.67
  5. Step 5: Solve for x
    x = 115,214,384.67/12,398.81
  6. Step 6: Final answer
    x = 9,292.38

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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.