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Finding the Fourth Proportional to 16,165.89, 22,308.45 and 9,796.26

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Solution

The fourth proportional to 16,165.89, 22,308.45 and 9,796.26 is: 13,518.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.89 : 22,308.45 = 9,796.26 : x
  2. Step 2: Convert to fraction form
    16,165.89/22,308.45 = 9,796.26/x
  3. Step 3: Cross multiply
    16,165.89x = 22,308.45 × 9,796.26
  4. Step 4: Simplify right side
    16,165.89x = 218,539,376.40
  5. Step 5: Solve for x
    x = 218,539,376.40/16,165.89
  6. Step 6: Final answer
    x = 13,518.55

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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.