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Finding the Fourth Proportional to 21,967.96, 30,315.58 and 11,896.16

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Solution

The fourth proportional to 21,967.96, 30,315.58 and 11,896.16 is: 16,416.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,967.96 : 30,315.58 = 11,896.16 : x
  2. Step 2: Convert to fraction form
    21,967.96/30,315.58 = 11,896.16/x
  3. Step 3: Cross multiply
    21,967.96x = 30,315.58 × 11,896.16
  4. Step 4: Simplify right side
    21,967.96x = 360,638,990.17
  5. Step 5: Solve for x
    x = 360,638,990.17/21,967.96
  6. Step 6: Final answer
    x = 16,416.59

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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.