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Finding the Fourth Proportional to 19,316.24, 28,972.92 and 6,170

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Solution

The fourth proportional to 19,316.24, 28,972.92 and 6,170 is: 9,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,316.24 : 28,972.92 = 6,170 : x
  2. Step 2: Convert to fraction form
    19,316.24/28,972.92 = 6,170/x
  3. Step 3: Cross multiply
    19,316.24x = 28,972.92 × 6,170
  4. Step 4: Simplify right side
    19,316.24x = 178,762,916.40
  5. Step 5: Solve for x
    x = 178,762,916.40/19,316.24
  6. Step 6: Final answer
    x = 9,254.54

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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.