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Finding the Fourth Proportional to 12,202.47, 16,840.26 and 6,897.33

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Solution

The fourth proportional to 12,202.47, 16,840.26 and 6,897.33 is: 9,518.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.47 : 16,840.26 = 6,897.33 : x
  2. Step 2: Convert to fraction form
    12,202.47/16,840.26 = 6,897.33/x
  3. Step 3: Cross multiply
    12,202.47x = 16,840.26 × 6,897.33
  4. Step 4: Simplify right side
    12,202.47x = 116,152,767.35
  5. Step 5: Solve for x
    x = 116,152,767.35/12,202.47
  6. Step 6: Final answer
    x = 9,518.79

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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.