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Finding the Fourth Proportional to 13,352, 20,028.27 and 4,118

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Solution

The fourth proportional to 13,352, 20,028.27 and 4,118 is: 6,177.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,352 : 20,028.27 = 4,118 : x
  2. Step 2: Convert to fraction form
    13,352/20,028.27 = 4,118/x
  3. Step 3: Cross multiply
    13,352x = 20,028.27 × 4,118
  4. Step 4: Simplify right side
    13,352x = 82,476,415.86
  5. Step 5: Solve for x
    x = 82,476,415.86/13,352
  6. Step 6: Final answer
    x = 6,177.08

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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.