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Finding the Fourth Proportional to 12,019.68, 18,038.82 and 7,858.56

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Solution

The fourth proportional to 12,019.68, 18,038.82 and 7,858.56 is: 11,793.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.68 : 18,038.82 = 7,858.56 : x
  2. Step 2: Convert to fraction form
    12,019.68/18,038.82 = 7,858.56/x
  3. Step 3: Cross multiply
    12,019.68x = 18,038.82 × 7,858.56
  4. Step 4: Simplify right side
    12,019.68x = 141,759,149.30
  5. Step 5: Solve for x
    x = 141,759,149.30/12,019.68
  6. Step 6: Final answer
    x = 11,793.92

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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.