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Finding the Fourth Proportional to 30,102.76, 41,542.17 and 16,674.26

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Solution

The fourth proportional to 30,102.76, 41,542.17 and 16,674.26 is: 23,010.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,102.76 : 41,542.17 = 16,674.26 : x
  2. Step 2: Convert to fraction form
    30,102.76/41,542.17 = 16,674.26/x
  3. Step 3: Cross multiply
    30,102.76x = 41,542.17 × 16,674.26
  4. Step 4: Simplify right side
    30,102.76x = 692,684,943.54
  5. Step 5: Solve for x
    x = 692,684,943.54/30,102.76
  6. Step 6: Final answer
    x = 23,010.68

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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.