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Finding the Fourth Proportional to 27,811.68, 41,714.04 and 9,090.15

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Solution

The fourth proportional to 27,811.68, 41,714.04 and 9,090.15 is: 13,634.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,811.68 : 41,714.04 = 9,090.15 : x
  2. Step 2: Convert to fraction form
    27,811.68/41,714.04 = 9,090.15/x
  3. Step 3: Cross multiply
    27,811.68x = 41,714.04 × 9,090.15
  4. Step 4: Simplify right side
    27,811.68x = 379,186,880.71
  5. Step 5: Solve for x
    x = 379,186,880.71/27,811.68
  6. Step 6: Final answer
    x = 13,634.09

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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.