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Finding the Fourth Proportional to 12,019.73, 17,998.10 and 7,848.03

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Solution

The fourth proportional to 12,019.73, 17,998.10 and 7,848.03 is: 11,751.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.73 : 17,998.10 = 7,848.03 : x
  2. Step 2: Convert to fraction form
    12,019.73/17,998.10 = 7,848.03/x
  3. Step 3: Cross multiply
    12,019.73x = 17,998.10 × 7,848.03
  4. Step 4: Simplify right side
    12,019.73x = 141,249,589.50
  5. Step 5: Solve for x
    x = 141,249,589.50/12,019.73
  6. Step 6: Final answer
    x = 11,751.48

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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.