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Finding the Fourth Proportional to 43,415.83, 65,128.50 and 13,826.71

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Solution

The fourth proportional to 43,415.83, 65,128.50 and 13,826.71 is: 20,741.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,415.83 : 65,128.50 = 13,826.71 : x
  2. Step 2: Convert to fraction form
    43,415.83/65,128.50 = 13,826.71/x
  3. Step 3: Cross multiply
    43,415.83x = 65,128.50 × 13,826.71
  4. Step 4: Simplify right side
    43,415.83x = 900,512,882.24
  5. Step 5: Solve for x
    x = 900,512,882.24/43,415.83
  6. Step 6: Final answer
    x = 20,741.58

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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.