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Finding the Fourth Proportional to 14,138, 19,512.83 and 8,173.11

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Solution

The fourth proportional to 14,138, 19,512.83 and 8,173.11 is: 11,280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138 : 19,512.83 = 8,173.11 : x
  2. Step 2: Convert to fraction form
    14,138/19,512.83 = 8,173.11/x
  3. Step 3: Cross multiply
    14,138x = 19,512.83 × 8,173.11
  4. Step 4: Simplify right side
    14,138x = 159,480,506.00
  5. Step 5: Solve for x
    x = 159,480,506.00/14,138
  6. Step 6: Final answer
    x = 11,280.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.