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Finding the Fourth Proportional to 14,147.34, 19,523.52 and 7,774.26

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Solution

The fourth proportional to 14,147.34, 19,523.52 and 7,774.26 is: 10,728.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147.34 : 19,523.52 = 7,774.26 : x
  2. Step 2: Convert to fraction form
    14,147.34/19,523.52 = 7,774.26/x
  3. Step 3: Cross multiply
    14,147.34x = 19,523.52 × 7,774.26
  4. Step 4: Simplify right side
    14,147.34x = 151,780,920.60
  5. Step 5: Solve for x
    x = 151,780,920.60/14,147.34
  6. Step 6: Final answer
    x = 10,728.58

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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.