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Finding the Fourth Proportional to 12,203.39, 16,840.71 and 6,898.10

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Solution

The fourth proportional to 12,203.39, 16,840.71 and 6,898.10 is: 9,519.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.39 : 16,840.71 = 6,898.10 : x
  2. Step 2: Convert to fraction form
    12,203.39/16,840.71 = 6,898.10/x
  3. Step 3: Cross multiply
    12,203.39x = 16,840.71 × 6,898.10
  4. Step 4: Simplify right side
    12,203.39x = 116,168,817.45
  5. Step 5: Solve for x
    x = 116,168,817.45/12,203.39
  6. Step 6: Final answer
    x = 9,519.39

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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.