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Finding the Fourth Proportional to 27,487.14, 41,203 and 10,840.74

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Solution

The fourth proportional to 27,487.14, 41,203 and 10,840.74 is: 16,250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,487.14 : 41,203 = 10,840.74 : x
  2. Step 2: Convert to fraction form
    27,487.14/41,203 = 10,840.74/x
  3. Step 3: Cross multiply
    27,487.14x = 41,203 × 10,840.74
  4. Step 4: Simplify right side
    27,487.14x = 446,671,010.22
  5. Step 5: Solve for x
    x = 446,671,010.22/27,487.14
  6. Step 6: Final answer
    x = 16,250.18

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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.