Home / 16,814-25,205.32-5,713.10

Finding the Fourth Proportional to 16,814, 25,205.32 and 5,713.10

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Solution

The fourth proportional to 16,814, 25,205.32 and 5,713.10 is: 8,564.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814 : 25,205.32 = 5,713.10 : x
  2. Step 2: Convert to fraction form
    16,814/25,205.32 = 5,713.10/x
  3. Step 3: Cross multiply
    16,814x = 25,205.32 × 5,713.10
  4. Step 4: Simplify right side
    16,814x = 144,000,513.69
  5. Step 5: Solve for x
    x = 144,000,513.69/16,814
  6. Step 6: Final answer
    x = 8,564.32

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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.