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Finding the Fourth Proportional to 12,176.96, 16,804.14 and 6,873.50

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Solution

The fourth proportional to 12,176.96, 16,804.14 and 6,873.50 is: 9,485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.96 : 16,804.14 = 6,873.50 : x
  2. Step 2: Convert to fraction form
    12,176.96/16,804.14 = 6,873.50/x
  3. Step 3: Cross multiply
    12,176.96x = 16,804.14 × 6,873.50
  4. Step 4: Simplify right side
    12,176.96x = 115,503,256.29
  5. Step 5: Solve for x
    x = 115,503,256.29/12,176.96
  6. Step 6: Final answer
    x = 9,485.39

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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.