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Finding the Fourth Proportional to 30,257.05, 41,754.14 and 16,828.02

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Solution

The fourth proportional to 30,257.05, 41,754.14 and 16,828.02 is: 23,222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,257.05 : 41,754.14 = 16,828.02 : x
  2. Step 2: Convert to fraction form
    30,257.05/41,754.14 = 16,828.02/x
  3. Step 3: Cross multiply
    30,257.05x = 41,754.14 × 16,828.02
  4. Step 4: Simplify right side
    30,257.05x = 702,639,503.00
  5. Step 5: Solve for x
    x = 702,639,503.00/30,257.05
  6. Step 6: Final answer
    x = 23,222.34

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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.