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Finding the Fourth Proportional to 14,138.64, 19,511.91 and 7,851

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Solution

The fourth proportional to 14,138.64, 19,511.91 and 7,851 is: 10,834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.64 : 19,511.91 = 7,851 : x
  2. Step 2: Convert to fraction form
    14,138.64/19,511.91 = 7,851/x
  3. Step 3: Cross multiply
    14,138.64x = 19,511.91 × 7,851
  4. Step 4: Simplify right side
    14,138.64x = 153,188,005.41
  5. Step 5: Solve for x
    x = 153,188,005.41/14,138.64
  6. Step 6: Final answer
    x = 10,834.71

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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.