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Finding the Fourth Proportional to 20,889, 28,826.82 and 11,457.59

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Solution

The fourth proportional to 20,889, 28,826.82 and 11,457.59 is: 15,811.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,889 : 28,826.82 = 11,457.59 : x
  2. Step 2: Convert to fraction form
    20,889/28,826.82 = 11,457.59/x
  3. Step 3: Cross multiply
    20,889x = 28,826.82 × 11,457.59
  4. Step 4: Simplify right side
    20,889x = 330,285,740.43
  5. Step 5: Solve for x
    x = 330,285,740.43/20,889
  6. Step 6: Final answer
    x = 15,811.47

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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.