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Finding the Fourth Proportional to 26,858.39, 40,281.50 and 10,212.48

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Solution

The fourth proportional to 26,858.39, 40,281.50 and 10,212.48 is: 15,316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,858.39 : 40,281.50 = 10,212.48 : x
  2. Step 2: Convert to fraction form
    26,858.39/40,281.50 = 10,212.48/x
  3. Step 3: Cross multiply
    26,858.39x = 40,281.50 × 10,212.48
  4. Step 4: Simplify right side
    26,858.39x = 411,374,038.65
  5. Step 5: Solve for x
    x = 411,374,038.65/26,858.39
  6. Step 6: Final answer
    x = 15,316.41

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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.