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Finding the Fourth Proportional to 15,175.88, 20,945.94 and 10,205

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Solution

The fourth proportional to 15,175.88, 20,945.94 and 10,205 is: 14,085.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.88 : 20,945.94 = 10,205 : x
  2. Step 2: Convert to fraction form
    15,175.88/20,945.94 = 10,205/x
  3. Step 3: Cross multiply
    15,175.88x = 20,945.94 × 10,205
  4. Step 4: Simplify right side
    15,175.88x = 213,753,317.70
  5. Step 5: Solve for x
    x = 213,753,317.70/15,175.88
  6. Step 6: Final answer
    x = 14,085.07

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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.