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Finding the Fourth Proportional to 19,156.96, 28,735.74 and 6,009.44

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Solution

The fourth proportional to 19,156.96, 28,735.74 and 6,009.44 is: 9,014.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,156.96 : 28,735.74 = 6,009.44 : x
  2. Step 2: Convert to fraction form
    19,156.96/28,735.74 = 6,009.44/x
  3. Step 3: Cross multiply
    19,156.96x = 28,735.74 × 6,009.44
  4. Step 4: Simplify right side
    19,156.96x = 172,685,705.39
  5. Step 5: Solve for x
    x = 172,685,705.39/19,156.96
  6. Step 6: Final answer
    x = 9,014.25

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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.