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Finding the Fourth Proportional to 30,809.28, 46,213.86 and 12,341.28

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Solution

The fourth proportional to 30,809.28, 46,213.86 and 12,341.28 is: 18,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,809.28 : 46,213.86 = 12,341.28 : x
  2. Step 2: Convert to fraction form
    30,809.28/46,213.86 = 12,341.28/x
  3. Step 3: Cross multiply
    30,809.28x = 46,213.86 × 12,341.28
  4. Step 4: Simplify right side
    30,809.28x = 570,338,186.14
  5. Step 5: Solve for x
    x = 570,338,186.14/30,809.28
  6. Step 6: Final answer
    x = 18,511.90

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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.