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Finding the Fourth Proportional to 26,716.44, 40,071.96 and 9,187.50

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Solution

The fourth proportional to 26,716.44, 40,071.96 and 9,187.50 is: 13,780.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,716.44 : 40,071.96 = 9,187.50 : x
  2. Step 2: Convert to fraction form
    26,716.44/40,071.96 = 9,187.50/x
  3. Step 3: Cross multiply
    26,716.44x = 40,071.96 × 9,187.50
  4. Step 4: Simplify right side
    26,716.44x = 368,161,132.50
  5. Step 5: Solve for x
    x = 368,161,132.50/26,716.44
  6. Step 6: Final answer
    x = 13,780.32

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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.