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Finding the Fourth Proportional to 13,114.53, 18,089.06 and 7,805.25

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Solution

The fourth proportional to 13,114.53, 18,089.06 and 7,805.25 is: 10,765.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.53 : 18,089.06 = 7,805.25 : x
  2. Step 2: Convert to fraction form
    13,114.53/18,089.06 = 7,805.25/x
  3. Step 3: Cross multiply
    13,114.53x = 18,089.06 × 7,805.25
  4. Step 4: Simplify right side
    13,114.53x = 141,189,596.54
  5. Step 5: Solve for x
    x = 141,189,596.54/13,114.53
  6. Step 6: Final answer
    x = 10,765.89

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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.