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Finding the Fourth Proportional to 26,077.78, 39,116.26 and 10,495

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Solution

The fourth proportional to 26,077.78, 39,116.26 and 10,495 is: 15,742.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,077.78 : 39,116.26 = 10,495 : x
  2. Step 2: Convert to fraction form
    26,077.78/39,116.26 = 10,495/x
  3. Step 3: Cross multiply
    26,077.78x = 39,116.26 × 10,495
  4. Step 4: Simplify right side
    26,077.78x = 410,525,148.70
  5. Step 5: Solve for x
    x = 410,525,148.70/26,077.78
  6. Step 6: Final answer
    x = 15,742.33

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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.