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Finding the Fourth Proportional to 12,004.35, 18,006.53 and 7,776.15

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Solution

The fourth proportional to 12,004.35, 18,006.53 and 7,776.15 is: 11,664.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.35 : 18,006.53 = 7,776.15 : x
  2. Step 2: Convert to fraction form
    12,004.35/18,006.53 = 7,776.15/x
  3. Step 3: Cross multiply
    12,004.35x = 18,006.53 × 7,776.15
  4. Step 4: Simplify right side
    12,004.35x = 140,021,439.38
  5. Step 5: Solve for x
    x = 140,021,439.38/12,004.35
  6. Step 6: Final answer
    x = 11,664.23

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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.