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Finding the Fourth Proportional to 17,823.92, 24,590.01 and 11,449.63

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Solution

The fourth proportional to 17,823.92, 24,590.01 and 11,449.63 is: 15,795.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823.92 : 24,590.01 = 11,449.63 : x
  2. Step 2: Convert to fraction form
    17,823.92/24,590.01 = 11,449.63/x
  3. Step 3: Cross multiply
    17,823.92x = 24,590.01 × 11,449.63
  4. Step 4: Simplify right side
    17,823.92x = 281,546,424.10
  5. Step 5: Solve for x
    x = 281,546,424.10/17,823.92
  6. Step 6: Final answer
    x = 15,795.98

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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.