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Finding the Fourth Proportional to 14,107.90, 19,469.15 and 7,735.12

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Solution

The fourth proportional to 14,107.90, 19,469.15 and 7,735.12 is: 10,674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.90 : 19,469.15 = 7,735.12 : x
  2. Step 2: Convert to fraction form
    14,107.90/19,469.15 = 7,735.12/x
  3. Step 3: Cross multiply
    14,107.90x = 19,469.15 × 7,735.12
  4. Step 4: Simplify right side
    14,107.90x = 150,596,211.55
  5. Step 5: Solve for x
    x = 150,596,211.55/14,107.90
  6. Step 6: Final answer
    x = 10,674.60

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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.