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Finding the Fourth Proportional to 12,078.19, 16,662.23 and 8,543.35

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Solution

The fourth proportional to 12,078.19, 16,662.23 and 8,543.35 is: 11,785.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.19 : 16,662.23 = 8,543.35 : x
  2. Step 2: Convert to fraction form
    12,078.19/16,662.23 = 8,543.35/x
  3. Step 3: Cross multiply
    12,078.19x = 16,662.23 × 8,543.35
  4. Step 4: Simplify right side
    12,078.19x = 142,351,178.30
  5. Step 5: Solve for x
    x = 142,351,178.30/12,078.19
  6. Step 6: Final answer
    x = 11,785.81

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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.