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Finding the Fourth Proportional to 13,994.94, 20,992.62 and 3,465

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Solution

The fourth proportional to 13,994.94, 20,992.62 and 3,465 is: 5,197.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,994.94 : 20,992.62 = 3,465 : x
  2. Step 2: Convert to fraction form
    13,994.94/20,992.62 = 3,465/x
  3. Step 3: Cross multiply
    13,994.94x = 20,992.62 × 3,465
  4. Step 4: Simplify right side
    13,994.94x = 72,739,428.30
  5. Step 5: Solve for x
    x = 72,739,428.30/13,994.94
  6. Step 6: Final answer
    x = 5,197.55

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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.