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Finding the Fourth Proportional to 17,048.72, 25,573.03 and 7,677.77

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Solution

The fourth proportional to 17,048.72, 25,573.03 and 7,677.77 is: 11,516.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,048.72 : 25,573.03 = 7,677.77 : x
  2. Step 2: Convert to fraction form
    17,048.72/25,573.03 = 7,677.77/x
  3. Step 3: Cross multiply
    17,048.72x = 25,573.03 × 7,677.77
  4. Step 4: Simplify right side
    17,048.72x = 196,343,842.54
  5. Step 5: Solve for x
    x = 196,343,842.54/17,048.72
  6. Step 6: Final answer
    x = 11,516.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.