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Finding the Fourth Proportional to 30,714.88, 46,013.23 and 18,833.97

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Solution

The fourth proportional to 30,714.88, 46,013.23 and 18,833.97 is: 28,214.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,714.88 : 46,013.23 = 18,833.97 : x
  2. Step 2: Convert to fraction form
    30,714.88/46,013.23 = 18,833.97/x
  3. Step 3: Cross multiply
    30,714.88x = 46,013.23 × 18,833.97
  4. Step 4: Simplify right side
    30,714.88x = 866,611,796.82
  5. Step 5: Solve for x
    x = 866,611,796.82/30,714.88
  6. Step 6: Final answer
    x = 28,214.72

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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.