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Finding the Fourth Proportional to 30,677.66, 46,009.64 and 11,958.20

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Solution

The fourth proportional to 30,677.66, 46,009.64 and 11,958.20 is: 17,934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,677.66 : 46,009.64 = 11,958.20 : x
  2. Step 2: Convert to fraction form
    30,677.66/46,009.64 = 11,958.20/x
  3. Step 3: Cross multiply
    30,677.66x = 46,009.64 × 11,958.20
  4. Step 4: Simplify right side
    30,677.66x = 550,192,187.21
  5. Step 5: Solve for x
    x = 550,192,187.21/30,677.66
  6. Step 6: Final answer
    x = 17,934.62

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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.