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Finding the Fourth Proportional to 16,993.64, 25,461.70 and 10,406.07

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Solution

The fourth proportional to 16,993.64, 25,461.70 and 10,406.07 is: 15,591.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,993.64 : 25,461.70 = 10,406.07 : x
  2. Step 2: Convert to fraction form
    16,993.64/25,461.70 = 10,406.07/x
  3. Step 3: Cross multiply
    16,993.64x = 25,461.70 × 10,406.07
  4. Step 4: Simplify right side
    16,993.64x = 264,956,206.50
  5. Step 5: Solve for x
    x = 264,956,206.50/16,993.64
  6. Step 6: Final answer
    x = 15,591.49

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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.