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Finding the Fourth Proportional to 17,870.81, 24,661.76 and 9,912.87

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Solution

The fourth proportional to 17,870.81, 24,661.76 and 9,912.87 is: 13,679.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,870.81 : 24,661.76 = 9,912.87 : x
  2. Step 2: Convert to fraction form
    17,870.81/24,661.76 = 9,912.87/x
  3. Step 3: Cross multiply
    17,870.81x = 24,661.76 × 9,912.87
  4. Step 4: Simplify right side
    17,870.81x = 244,468,771.29
  5. Step 5: Solve for x
    x = 244,468,771.29/17,870.81
  6. Step 6: Final answer
    x = 13,679.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.