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Finding the Fourth Proportional to 11,726.58, 16,190.20 and 10,465.44

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Solution

The fourth proportional to 11,726.58, 16,190.20 and 10,465.44 is: 14,449.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.58 : 16,190.20 = 10,465.44 : x
  2. Step 2: Convert to fraction form
    11,726.58/16,190.20 = 10,465.44/x
  3. Step 3: Cross multiply
    11,726.58x = 16,190.20 × 10,465.44
  4. Step 4: Simplify right side
    11,726.58x = 169,437,566.69
  5. Step 5: Solve for x
    x = 169,437,566.69/11,726.58
  6. Step 6: Final answer
    x = 14,449.02

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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.