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Finding the Fourth Proportional to 29,938.23, 41,315.03 and 16,509.96

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Solution

The fourth proportional to 29,938.23, 41,315.03 and 16,509.96 is: 22,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,938.23 : 41,315.03 = 16,509.96 : x
  2. Step 2: Convert to fraction form
    29,938.23/41,315.03 = 16,509.96/x
  3. Step 3: Cross multiply
    29,938.23x = 41,315.03 × 16,509.96
  4. Step 4: Simplify right side
    29,938.23x = 682,109,410.15
  5. Step 5: Solve for x
    x = 682,109,410.15/29,938.23
  6. Step 6: Final answer
    x = 22,783.89

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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.