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Finding the Fourth Proportional to 17,830.23, 24,608.76 and 10,275.20

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Solution

The fourth proportional to 17,830.23, 24,608.76 and 10,275.20 is: 14,181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.23 : 24,608.76 = 10,275.20 : x
  2. Step 2: Convert to fraction form
    17,830.23/24,608.76 = 10,275.20/x
  3. Step 3: Cross multiply
    17,830.23x = 24,608.76 × 10,275.20
  4. Step 4: Simplify right side
    17,830.23x = 252,860,057.68
  5. Step 5: Solve for x
    x = 252,860,057.68/17,830.23
  6. Step 6: Final answer
    x = 14,181.54

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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.