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Finding the Fourth Proportional to 26,835, 40,227.86 and 9,292.56

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Solution

The fourth proportional to 26,835, 40,227.86 and 9,292.56 is: 13,930.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,835 : 40,227.86 = 9,292.56 : x
  2. Step 2: Convert to fraction form
    26,835/40,227.86 = 9,292.56/x
  3. Step 3: Cross multiply
    26,835x = 40,227.86 × 9,292.56
  4. Step 4: Simplify right side
    26,835x = 373,819,802.72
  5. Step 5: Solve for x
    x = 373,819,802.72/26,835
  6. Step 6: Final answer
    x = 13,930.31

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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.