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Finding the Fourth Proportional to 30,914.89, 46,341.02 and 12,208.13

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Solution

The fourth proportional to 30,914.89, 46,341.02 and 12,208.13 is: 18,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,914.89 : 46,341.02 = 12,208.13 : x
  2. Step 2: Convert to fraction form
    30,914.89/46,341.02 = 12,208.13/x
  3. Step 3: Cross multiply
    30,914.89x = 46,341.02 × 12,208.13
  4. Step 4: Simplify right side
    30,914.89x = 565,736,995.31
  5. Step 5: Solve for x
    x = 565,736,995.31/30,914.89
  6. Step 6: Final answer
    x = 18,299.82

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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.