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Finding the Fourth Proportional to 17,870.50, 24,661.31 and 10,419.94

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Solution

The fourth proportional to 17,870.50, 24,661.31 and 10,419.94 is: 14,379.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,870.50 : 24,661.31 = 10,419.94 : x
  2. Step 2: Convert to fraction form
    17,870.50/24,661.31 = 10,419.94/x
  3. Step 3: Cross multiply
    17,870.50x = 24,661.31 × 10,419.94
  4. Step 4: Simplify right side
    17,870.50x = 256,969,370.52
  5. Step 5: Solve for x
    x = 256,969,370.52/17,870.50
  6. Step 6: Final answer
    x = 14,379.53

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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.