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Finding the Fourth Proportional to 12,016.50, 18,019.72 and 5,775.04

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Solution

The fourth proportional to 12,016.50, 18,019.72 and 5,775.04 is: 8,660.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,016.50 : 18,019.72 = 5,775.04 : x
  2. Step 2: Convert to fraction form
    12,016.50/18,019.72 = 5,775.04/x
  3. Step 3: Cross multiply
    12,016.50x = 18,019.72 × 5,775.04
  4. Step 4: Simplify right side
    12,016.50x = 104,064,603.79
  5. Step 5: Solve for x
    x = 104,064,603.79/12,016.50
  6. Step 6: Final answer
    x = 8,660.14

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Why These Related Problems?

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