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Finding the Fourth Proportional to 19,102.50, 26,361.45 and 10,719

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Solution

The fourth proportional to 19,102.50, 26,361.45 and 10,719 is: 14,792.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,102.50 : 26,361.45 = 10,719 : x
  2. Step 2: Convert to fraction form
    19,102.50/26,361.45 = 10,719/x
  3. Step 3: Cross multiply
    19,102.50x = 26,361.45 × 10,719
  4. Step 4: Simplify right side
    19,102.50x = 282,568,382.55
  5. Step 5: Solve for x
    x = 282,568,382.55/19,102.50
  6. Step 6: Final answer
    x = 14,792.22

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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.