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Finding the Fourth Proportional to 16,792.50, 23,161.78 and 14,257.16

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Solution

The fourth proportional to 16,792.50, 23,161.78 and 14,257.16 is: 19,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,792.50 : 23,161.78 = 14,257.16 : x
  2. Step 2: Convert to fraction form
    16,792.50/23,161.78 = 14,257.16/x
  3. Step 3: Cross multiply
    16,792.50x = 23,161.78 × 14,257.16
  4. Step 4: Simplify right side
    16,792.50x = 330,221,203.34
  5. Step 5: Solve for x
    x = 330,221,203.34/16,792.50
  6. Step 6: Final answer
    x = 19,664.80

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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.