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Finding the Fourth Proportional to 11,656.70, 17,460.31 and 9,425.96

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Solution

The fourth proportional to 11,656.70, 17,460.31 and 9,425.96 is: 14,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.70 : 17,460.31 = 9,425.96 : x
  2. Step 2: Convert to fraction form
    11,656.70/17,460.31 = 9,425.96/x
  3. Step 3: Cross multiply
    11,656.70x = 17,460.31 × 9,425.96
  4. Step 4: Simplify right side
    11,656.70x = 164,580,183.65
  5. Step 5: Solve for x
    x = 164,580,183.65/11,656.70
  6. Step 6: Final answer
    x = 14,118.93

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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.