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Finding the Fourth Proportional to 14,138.07, 19,511.42 and 7,850.49

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Solution

The fourth proportional to 14,138.07, 19,511.42 and 7,850.49 is: 10,834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.07 : 19,511.42 = 7,850.49 : x
  2. Step 2: Convert to fraction form
    14,138.07/19,511.42 = 7,850.49/x
  3. Step 3: Cross multiply
    14,138.07x = 19,511.42 × 7,850.49
  4. Step 4: Simplify right side
    14,138.07x = 153,174,168.34
  5. Step 5: Solve for x
    x = 153,174,168.34/14,138.07
  6. Step 6: Final answer
    x = 10,834.16

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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.