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Finding the Fourth Proportional to 17,879.22, 24,673.25 and 9,813

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Solution

The fourth proportional to 17,879.22, 24,673.25 and 9,813 is: 13,541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,879.22 : 24,673.25 = 9,813 : x
  2. Step 2: Convert to fraction form
    17,879.22/24,673.25 = 9,813/x
  3. Step 3: Cross multiply
    17,879.22x = 24,673.25 × 9,813
  4. Step 4: Simplify right side
    17,879.22x = 242,118,553.19
  5. Step 5: Solve for x
    x = 242,118,553.19/17,879.22
  6. Step 6: Final answer
    x = 13,541.90

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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.