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Finding the Fourth Proportional to 12,203.24, 16,840.18 and 6,897.88

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Solution

The fourth proportional to 12,203.24, 16,840.18 and 6,897.88 is: 9,518.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.24 : 16,840.18 = 6,897.88 : x
  2. Step 2: Convert to fraction form
    12,203.24/16,840.18 = 6,897.88/x
  3. Step 3: Cross multiply
    12,203.24x = 16,840.18 × 6,897.88
  4. Step 4: Simplify right side
    12,203.24x = 116,161,540.82
  5. Step 5: Solve for x
    x = 116,161,540.82/12,203.24
  6. Step 6: Final answer
    x = 9,518.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.