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Finding the Fourth Proportional to 30,107.70, 41,551.18 and 16,683.17

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Solution

The fourth proportional to 30,107.70, 41,551.18 and 16,683.17 is: 23,024.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,107.70 : 41,551.18 = 16,683.17 : x
  2. Step 2: Convert to fraction form
    30,107.70/41,551.18 = 16,683.17/x
  3. Step 3: Cross multiply
    30,107.70x = 41,551.18 × 16,683.17
  4. Step 4: Simplify right side
    30,107.70x = 693,205,150.18
  5. Step 5: Solve for x
    x = 693,205,150.18/30,107.70
  6. Step 6: Final answer
    x = 23,024.18

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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.