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Finding the Fourth Proportional to 20,803.96, 31,186.26 and 6,943

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Solution

The fourth proportional to 20,803.96, 31,186.26 and 6,943 is: 10,407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.96 : 31,186.26 = 6,943 : x
  2. Step 2: Convert to fraction form
    20,803.96/31,186.26 = 6,943/x
  3. Step 3: Cross multiply
    20,803.96x = 31,186.26 × 6,943
  4. Step 4: Simplify right side
    20,803.96x = 216,526,203.18
  5. Step 5: Solve for x
    x = 216,526,203.18/20,803.96
  6. Step 6: Final answer
    x = 10,407.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.