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Finding the Fourth Proportional to 18,705.90, 25,813.98 and 10,208.19

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Solution

The fourth proportional to 18,705.90, 25,813.98 and 10,208.19 is: 14,087.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,705.90 : 25,813.98 = 10,208.19 : x
  2. Step 2: Convert to fraction form
    18,705.90/25,813.98 = 10,208.19/x
  3. Step 3: Cross multiply
    18,705.90x = 25,813.98 × 10,208.19
  4. Step 4: Simplify right side
    18,705.90x = 263,514,012.50
  5. Step 5: Solve for x
    x = 263,514,012.50/18,705.90
  6. Step 6: Final answer
    x = 14,087.21

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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.