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Finding the Fourth Proportional to 21,806.16, 30,096.44 and 12,853.14

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Solution

The fourth proportional to 21,806.16, 30,096.44 and 12,853.14 is: 17,739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,806.16 : 30,096.44 = 12,853.14 : x
  2. Step 2: Convert to fraction form
    21,806.16/30,096.44 = 12,853.14/x
  3. Step 3: Cross multiply
    21,806.16x = 30,096.44 × 12,853.14
  4. Step 4: Simplify right side
    21,806.16x = 386,833,756.82
  5. Step 5: Solve for x
    x = 386,833,756.82/21,806.16
  6. Step 6: Final answer
    x = 17,739.66

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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.