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Finding the Fourth Proportional to 11,726.16, 17,510.34 and 11,596.56

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Solution

The fourth proportional to 11,726.16, 17,510.34 and 11,596.56 is: 17,316.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.16 : 17,510.34 = 11,596.56 : x
  2. Step 2: Convert to fraction form
    11,726.16/17,510.34 = 11,596.56/x
  3. Step 3: Cross multiply
    11,726.16x = 17,510.34 × 11,596.56
  4. Step 4: Simplify right side
    11,726.16x = 203,059,708.43
  5. Step 5: Solve for x
    x = 203,059,708.43/11,726.16
  6. Step 6: Final answer
    x = 17,316.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.