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Finding the Fourth Proportional to 28,083.84, 42,100.92 and 11,457.78

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Solution

The fourth proportional to 28,083.84, 42,100.92 and 11,457.78 is: 17,176.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,083.84 : 42,100.92 = 11,457.78 : x
  2. Step 2: Convert to fraction form
    28,083.84/42,100.92 = 11,457.78/x
  3. Step 3: Cross multiply
    28,083.84x = 42,100.92 × 11,457.78
  4. Step 4: Simplify right side
    28,083.84x = 482,383,079.16
  5. Step 5: Solve for x
    x = 482,383,079.16/28,083.84
  6. Step 6: Final answer
    x = 17,176.54

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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.