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Finding the Fourth Proportional to 10,623.96, 15,942.42 and 9,975.96

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Solution

The fourth proportional to 10,623.96, 15,942.42 and 9,975.96 is: 14,970.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,623.96 : 15,942.42 = 9,975.96 : x
  2. Step 2: Convert to fraction form
    10,623.96/15,942.42 = 9,975.96/x
  3. Step 3: Cross multiply
    10,623.96x = 15,942.42 × 9,975.96
  4. Step 4: Simplify right side
    10,623.96x = 159,040,944.22
  5. Step 5: Solve for x
    x = 159,040,944.22/10,623.96
  6. Step 6: Final answer
    x = 14,970.02

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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.