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Finding the Fourth Proportional to 17,833.54, 24,608.19 and 10,279.78

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Solution

The fourth proportional to 17,833.54, 24,608.19 and 10,279.78 is: 14,184.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,833.54 : 24,608.19 = 10,279.78 : x
  2. Step 2: Convert to fraction form
    17,833.54/24,608.19 = 10,279.78/x
  3. Step 3: Cross multiply
    17,833.54x = 24,608.19 × 10,279.78
  4. Step 4: Simplify right side
    17,833.54x = 252,966,779.40
  5. Step 5: Solve for x
    x = 252,966,779.40/17,833.54
  6. Step 6: Final answer
    x = 14,184.89

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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.