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Finding the Fourth Proportional to 14,137.34, 19,508.65 and 8,168.04

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Solution

The fourth proportional to 14,137.34, 19,508.65 and 8,168.04 is: 11,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.34 : 19,508.65 = 8,168.04 : x
  2. Step 2: Convert to fraction form
    14,137.34/19,508.65 = 8,168.04/x
  3. Step 3: Cross multiply
    14,137.34x = 19,508.65 × 8,168.04
  4. Step 4: Simplify right side
    14,137.34x = 159,347,413.13
  5. Step 5: Solve for x
    x = 159,347,413.13/14,137.34
  6. Step 6: Final answer
    x = 11,271.39

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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.