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Finding the Fourth Proportional to 26,491.60, 39,712.69 and 8,949.16

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Solution

The fourth proportional to 26,491.60, 39,712.69 and 8,949.16 is: 13,415.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,491.60 : 39,712.69 = 8,949.16 : x
  2. Step 2: Convert to fraction form
    26,491.60/39,712.69 = 8,949.16/x
  3. Step 3: Cross multiply
    26,491.60x = 39,712.69 × 8,949.16
  4. Step 4: Simplify right side
    26,491.60x = 355,395,216.84
  5. Step 5: Solve for x
    x = 355,395,216.84/26,491.60
  6. Step 6: Final answer
    x = 13,415.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.