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Finding the Fourth Proportional to 12,202.35, 16,848.78 and 9,365.23

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Solution

The fourth proportional to 12,202.35, 16,848.78 and 9,365.23 is: 12,931.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.35 : 16,848.78 = 9,365.23 : x
  2. Step 2: Convert to fraction form
    12,202.35/16,848.78 = 9,365.23/x
  3. Step 3: Cross multiply
    12,202.35x = 16,848.78 × 9,365.23
  4. Step 4: Simplify right side
    12,202.35x = 157,792,699.92
  5. Step 5: Solve for x
    x = 157,792,699.92/12,202.35
  6. Step 6: Final answer
    x = 12,931.34

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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.