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Finding the Fourth Proportional to 30,858.37, 46,294.34 and 9,511.22

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Solution

The fourth proportional to 30,858.37, 46,294.34 and 9,511.22 is: 14,268.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,858.37 : 46,294.34 = 9,511.22 : x
  2. Step 2: Convert to fraction form
    30,858.37/46,294.34 = 9,511.22/x
  3. Step 3: Cross multiply
    30,858.37x = 46,294.34 × 9,511.22
  4. Step 4: Simplify right side
    30,858.37x = 440,315,720.67
  5. Step 5: Solve for x
    x = 440,315,720.67/30,858.37
  6. Step 6: Final answer
    x = 14,268.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.