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Finding the Fourth Proportional to 30,993.65, 42,782.21 and 18,418.25

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Solution

The fourth proportional to 30,993.65, 42,782.21 and 18,418.25 is: 25,423.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,993.65 : 42,782.21 = 18,418.25 : x
  2. Step 2: Convert to fraction form
    30,993.65/42,782.21 = 18,418.25/x
  3. Step 3: Cross multiply
    30,993.65x = 42,782.21 × 18,418.25
  4. Step 4: Simplify right side
    30,993.65x = 787,973,347.24
  5. Step 5: Solve for x
    x = 787,973,347.24/30,993.65
  6. Step 6: Final answer
    x = 25,423.70

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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.