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Finding the Fourth Proportional to 14,147.48, 19,523.42 and 7,774.14

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Solution

The fourth proportional to 14,147.48, 19,523.42 and 7,774.14 is: 10,728.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147.48 : 19,523.42 = 7,774.14 : x
  2. Step 2: Convert to fraction form
    14,147.48/19,523.42 = 7,774.14/x
  3. Step 3: Cross multiply
    14,147.48x = 19,523.42 × 7,774.14
  4. Step 4: Simplify right side
    14,147.48x = 151,777,800.36
  5. Step 5: Solve for x
    x = 151,777,800.36/14,147.48
  6. Step 6: Final answer
    x = 10,728.26

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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.