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Finding the Fourth Proportional to 30,714.96, 46,043.24 and 12,007

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Solution

The fourth proportional to 30,714.96, 46,043.24 and 12,007 is: 17,999.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,714.96 : 46,043.24 = 12,007 : x
  2. Step 2: Convert to fraction form
    30,714.96/46,043.24 = 12,007/x
  3. Step 3: Cross multiply
    30,714.96x = 46,043.24 × 12,007
  4. Step 4: Simplify right side
    30,714.96x = 552,841,182.68
  5. Step 5: Solve for x
    x = 552,841,182.68/30,714.96
  6. Step 6: Final answer
    x = 17,999.09

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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.