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Finding the Fourth Proportional to 26,873.48, 40,303.74 and 8,405.48

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Solution

The fourth proportional to 26,873.48, 40,303.74 and 8,405.48 is: 12,606.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,873.48 : 40,303.74 = 8,405.48 : x
  2. Step 2: Convert to fraction form
    26,873.48/40,303.74 = 8,405.48/x
  3. Step 3: Cross multiply
    26,873.48x = 40,303.74 × 8,405.48
  4. Step 4: Simplify right side
    26,873.48x = 338,772,280.50
  5. Step 5: Solve for x
    x = 338,772,280.50/26,873.48
  6. Step 6: Final answer
    x = 12,606.19

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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.