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Finding the Fourth Proportional to 10,164.96, 15,221.52 and 9,309.60

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Solution

The fourth proportional to 10,164.96, 15,221.52 and 9,309.60 is: 13,940.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.96 : 15,221.52 = 9,309.60 : x
  2. Step 2: Convert to fraction form
    10,164.96/15,221.52 = 9,309.60/x
  3. Step 3: Cross multiply
    10,164.96x = 15,221.52 × 9,309.60
  4. Step 4: Simplify right side
    10,164.96x = 141,706,262.59
  5. Step 5: Solve for x
    x = 141,706,262.59/10,164.96
  6. Step 6: Final answer
    x = 13,940.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.