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Finding the Fourth Proportional to 13,894.11, 20,842.88 and 4,531.62

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Solution

The fourth proportional to 13,894.11, 20,842.88 and 4,531.62 is: 6,797.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.11 : 20,842.88 = 4,531.62 : x
  2. Step 2: Convert to fraction form
    13,894.11/20,842.88 = 4,531.62/x
  3. Step 3: Cross multiply
    13,894.11x = 20,842.88 × 4,531.62
  4. Step 4: Simplify right side
    13,894.11x = 94,452,041.31
  5. Step 5: Solve for x
    x = 94,452,041.31/13,894.11
  6. Step 6: Final answer
    x = 6,797.99

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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.