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Finding the Fourth Proportional to 16,314.96, 22,494.72 and 13,792.56

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Solution

The fourth proportional to 16,314.96, 22,494.72 and 13,792.56 is: 19,016.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.96 : 22,494.72 = 13,792.56 : x
  2. Step 2: Convert to fraction form
    16,314.96/22,494.72 = 13,792.56/x
  3. Step 3: Cross multiply
    16,314.96x = 22,494.72 × 13,792.56
  4. Step 4: Simplify right side
    16,314.96x = 310,259,775.28
  5. Step 5: Solve for x
    x = 310,259,775.28/16,314.96
  6. Step 6: Final answer
    x = 19,016.89

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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.