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Finding the Fourth Proportional to 13,879.47, 19,153.46 and 8,500.11

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Solution

The fourth proportional to 13,879.47, 19,153.46 and 8,500.11 is: 11,730.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,879.47 : 19,153.46 = 8,500.11 : x
  2. Step 2: Convert to fraction form
    13,879.47/19,153.46 = 8,500.11/x
  3. Step 3: Cross multiply
    13,879.47x = 19,153.46 × 8,500.11
  4. Step 4: Simplify right side
    13,879.47x = 162,806,474.38
  5. Step 5: Solve for x
    x = 162,806,474.38/13,879.47
  6. Step 6: Final answer
    x = 11,730.02

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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.