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Finding the Fourth Proportional to 30,263.69, 41,763.74 and 16,834.16

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Solution

The fourth proportional to 30,263.69, 41,763.74 and 16,834.16 is: 23,231.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,263.69 : 41,763.74 = 16,834.16 : x
  2. Step 2: Convert to fraction form
    30,263.69/41,763.74 = 16,834.16/x
  3. Step 3: Cross multiply
    30,263.69x = 41,763.74 × 16,834.16
  4. Step 4: Simplify right side
    30,263.69x = 703,057,501.60
  5. Step 5: Solve for x
    x = 703,057,501.60/30,263.69
  6. Step 6: Final answer
    x = 23,231.05

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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.