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Finding the Fourth Proportional to 26,880.93, 40,323.69 and 7,159.50

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Solution

The fourth proportional to 26,880.93, 40,323.69 and 7,159.50 is: 10,739.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,880.93 : 40,323.69 = 7,159.50 : x
  2. Step 2: Convert to fraction form
    26,880.93/40,323.69 = 7,159.50/x
  3. Step 3: Cross multiply
    26,880.93x = 40,323.69 × 7,159.50
  4. Step 4: Simplify right side
    26,880.93x = 288,697,458.56
  5. Step 5: Solve for x
    x = 288,697,458.56/26,880.93
  6. Step 6: Final answer
    x = 10,739.86

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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.