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Finding the Fourth Proportional to 18,392, 27,588.07 and 4,541

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Solution

The fourth proportional to 18,392, 27,588.07 and 4,541 is: 6,811.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,392 : 27,588.07 = 4,541 : x
  2. Step 2: Convert to fraction form
    18,392/27,588.07 = 4,541/x
  3. Step 3: Cross multiply
    18,392x = 27,588.07 × 4,541
  4. Step 4: Simplify right side
    18,392x = 125,277,425.87
  5. Step 5: Solve for x
    x = 125,277,425.87/18,392
  6. Step 6: Final answer
    x = 6,811.52

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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.