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Finding the Fourth Proportional to 16,627.48, 24,941 and 4,781.54

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Solution

The fourth proportional to 16,627.48, 24,941 and 4,781.54 is: 7,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,627.48 : 24,941 = 4,781.54 : x
  2. Step 2: Convert to fraction form
    16,627.48/24,941 = 4,781.54/x
  3. Step 3: Cross multiply
    16,627.48x = 24,941 × 4,781.54
  4. Step 4: Simplify right side
    16,627.48x = 119,256,389.14
  5. Step 5: Solve for x
    x = 119,256,389.14/16,627.48
  6. Step 6: Final answer
    x = 7,172.25

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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.