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Finding the Fourth Proportional to 12,078.80, 18,103.62 and 8,783.72

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Solution

The fourth proportional to 12,078.80, 18,103.62 and 8,783.72 is: 13,164.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.80 : 18,103.62 = 8,783.72 : x
  2. Step 2: Convert to fraction form
    12,078.80/18,103.62 = 8,783.72/x
  3. Step 3: Cross multiply
    12,078.80x = 18,103.62 × 8,783.72
  4. Step 4: Simplify right side
    12,078.80x = 159,017,129.07
  5. Step 5: Solve for x
    x = 159,017,129.07/12,078.80
  6. Step 6: Final answer
    x = 13,164.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.