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Finding the Fourth Proportional to 27,635.58, 41,453.20 and 7,914.14

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Solution

The fourth proportional to 27,635.58, 41,453.20 and 7,914.14 is: 11,871.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,635.58 : 41,453.20 = 7,914.14 : x
  2. Step 2: Convert to fraction form
    27,635.58/41,453.20 = 7,914.14/x
  3. Step 3: Cross multiply
    27,635.58x = 41,453.20 × 7,914.14
  4. Step 4: Simplify right side
    27,635.58x = 328,066,386.32
  5. Step 5: Solve for x
    x = 328,066,386.32/27,635.58
  6. Step 6: Final answer
    x = 11,871.16

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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.