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Finding the Fourth Proportional to 17,458.82, 24,093.38 and 9,500.87

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Solution

The fourth proportional to 17,458.82, 24,093.38 and 9,500.87 is: 13,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,458.82 : 24,093.38 = 9,500.87 : x
  2. Step 2: Convert to fraction form
    17,458.82/24,093.38 = 9,500.87/x
  3. Step 3: Cross multiply
    17,458.82x = 24,093.38 × 9,500.87
  4. Step 4: Simplify right side
    17,458.82x = 228,908,071.24
  5. Step 5: Solve for x
    x = 228,908,071.24/17,458.82
  6. Step 6: Final answer
    x = 13,111.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.