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Finding the Fourth Proportional to 17,673.96, 24,391.74 and 10,120.89

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Solution

The fourth proportional to 17,673.96, 24,391.74 and 10,120.89 is: 13,967.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,673.96 : 24,391.74 = 10,120.89 : x
  2. Step 2: Convert to fraction form
    17,673.96/24,391.74 = 10,120.89/x
  3. Step 3: Cross multiply
    17,673.96x = 24,391.74 × 10,120.89
  4. Step 4: Simplify right side
    17,673.96x = 246,866,117.45
  5. Step 5: Solve for x
    x = 246,866,117.45/17,673.96
  6. Step 6: Final answer
    x = 13,967.79

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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.