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Finding the Fourth Proportional to 17,140.31, 25,714.31 and 6,047.09

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Solution

The fourth proportional to 17,140.31, 25,714.31 and 6,047.09 is: 9,071.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,140.31 : 25,714.31 = 6,047.09 : x
  2. Step 2: Convert to fraction form
    17,140.31/25,714.31 = 6,047.09/x
  3. Step 3: Cross multiply
    17,140.31x = 25,714.31 × 6,047.09
  4. Step 4: Simplify right side
    17,140.31x = 155,496,588.05
  5. Step 5: Solve for x
    x = 155,496,588.05/17,140.31
  6. Step 6: Final answer
    x = 9,071.98

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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.