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Finding the Fourth Proportional to 10,316.81, 15,431.85 and 9,568.98

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Solution

The fourth proportional to 10,316.81, 15,431.85 and 9,568.98 is: 14,313.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316.81 : 15,431.85 = 9,568.98 : x
  2. Step 2: Convert to fraction form
    10,316.81/15,431.85 = 9,568.98/x
  3. Step 3: Cross multiply
    10,316.81x = 15,431.85 × 9,568.98
  4. Step 4: Simplify right side
    10,316.81x = 147,667,064.01
  5. Step 5: Solve for x
    x = 147,667,064.01/10,316.81
  6. Step 6: Final answer
    x = 14,313.24

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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.