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Finding the Fourth Proportional to 26,059.10, 39,065.28 and 9,415.22

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Solution

The fourth proportional to 26,059.10, 39,065.28 and 9,415.22 is: 14,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,059.10 : 39,065.28 = 9,415.22 : x
  2. Step 2: Convert to fraction form
    26,059.10/39,065.28 = 9,415.22/x
  3. Step 3: Cross multiply
    26,059.10x = 39,065.28 × 9,415.22
  4. Step 4: Simplify right side
    26,059.10x = 367,808,205.56
  5. Step 5: Solve for x
    x = 367,808,205.56/26,059.10
  6. Step 6: Final answer
    x = 14,114.39

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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.