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Finding the Fourth Proportional to 21,967.84, 30,315.48 and 11,896.12

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Solution

The fourth proportional to 21,967.84, 30,315.48 and 11,896.12 is: 16,416.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,967.84 : 30,315.48 = 11,896.12 : x
  2. Step 2: Convert to fraction form
    21,967.84/30,315.48 = 11,896.12/x
  3. Step 3: Cross multiply
    21,967.84x = 30,315.48 × 11,896.12
  4. Step 4: Simplify right side
    21,967.84x = 360,636,587.94
  5. Step 5: Solve for x
    x = 360,636,587.94/21,967.84
  6. Step 6: Final answer
    x = 16,416.57

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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.