Home / 16,546-22,836.80-9,830.33

Finding the Fourth Proportional to 16,546, 22,836.80 and 9,830.33

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Solution

The fourth proportional to 16,546, 22,836.80 and 9,830.33 is: 13,567.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546 : 22,836.80 = 9,830.33 : x
  2. Step 2: Convert to fraction form
    16,546/22,836.80 = 9,830.33/x
  3. Step 3: Cross multiply
    16,546x = 22,836.80 × 9,830.33
  4. Step 4: Simplify right side
    16,546x = 224,493,280.14
  5. Step 5: Solve for x
    x = 224,493,280.14/16,546
  6. Step 6: Final answer
    x = 13,567.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.