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Finding the Fourth Proportional to 12,441.93, 18,681.54 and 10,705.83

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Solution

The fourth proportional to 12,441.93, 18,681.54 and 10,705.83 is: 16,074.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,441.93 : 18,681.54 = 10,705.83 : x
  2. Step 2: Convert to fraction form
    12,441.93/18,681.54 = 10,705.83/x
  3. Step 3: Cross multiply
    12,441.93x = 18,681.54 × 10,705.83
  4. Step 4: Simplify right side
    12,441.93x = 200,001,391.38
  5. Step 5: Solve for x
    x = 200,001,391.38/12,441.93
  6. Step 6: Final answer
    x = 16,074.79

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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.