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Finding the Fourth Proportional to 29,938.62, 41,314.55 and 16,509.68

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Solution

The fourth proportional to 29,938.62, 41,314.55 and 16,509.68 is: 22,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,938.62 : 41,314.55 = 16,509.68 : x
  2. Step 2: Convert to fraction form
    29,938.62/41,314.55 = 16,509.68/x
  3. Step 3: Cross multiply
    29,938.62x = 41,314.55 × 16,509.68
  4. Step 4: Simplify right side
    29,938.62x = 682,089,710.72
  5. Step 5: Solve for x
    x = 682,089,710.72/29,938.62
  6. Step 6: Final answer
    x = 22,782.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.