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Finding the Fourth Proportional to 16,662.80, 24,994.65 and 7,298

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Solution

The fourth proportional to 16,662.80, 24,994.65 and 7,298 is: 10,947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,662.80 : 24,994.65 = 7,298 : x
  2. Step 2: Convert to fraction form
    16,662.80/24,994.65 = 7,298/x
  3. Step 3: Cross multiply
    16,662.80x = 24,994.65 × 7,298
  4. Step 4: Simplify right side
    16,662.80x = 182,410,955.70
  5. Step 5: Solve for x
    x = 182,410,955.70/16,662.80
  6. Step 6: Final answer
    x = 10,947.20

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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.