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Finding the Fourth Proportional to 19,161, 28,741.47 and 6,014.38

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Solution

The fourth proportional to 19,161, 28,741.47 and 6,014.38 is: 9,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,161 : 28,741.47 = 6,014.38 : x
  2. Step 2: Convert to fraction form
    19,161/28,741.47 = 6,014.38/x
  3. Step 3: Cross multiply
    19,161x = 28,741.47 × 6,014.38
  4. Step 4: Simplify right side
    19,161x = 172,862,122.34
  5. Step 5: Solve for x
    x = 172,862,122.34/19,161
  6. Step 6: Final answer
    x = 9,021.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.