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Finding the Fourth Proportional to 30,418.14, 41,976.18 and 16,989

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Solution

The fourth proportional to 30,418.14, 41,976.18 and 16,989 is: 23,444.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,418.14 : 41,976.18 = 16,989 : x
  2. Step 2: Convert to fraction form
    30,418.14/41,976.18 = 16,989/x
  3. Step 3: Cross multiply
    30,418.14x = 41,976.18 × 16,989
  4. Step 4: Simplify right side
    30,418.14x = 713,133,322.02
  5. Step 5: Solve for x
    x = 713,133,322.02/30,418.14
  6. Step 6: Final answer
    x = 23,444.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.