Home / 16,823.09-23,214.75-10,109

Finding the Fourth Proportional to 16,823.09, 23,214.75 and 10,109

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Solution

The fourth proportional to 16,823.09, 23,214.75 and 10,109 is: 13,949.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.09 : 23,214.75 = 10,109 : x
  2. Step 2: Convert to fraction form
    16,823.09/23,214.75 = 10,109/x
  3. Step 3: Cross multiply
    16,823.09x = 23,214.75 × 10,109
  4. Step 4: Simplify right side
    16,823.09x = 234,677,907.75
  5. Step 5: Solve for x
    x = 234,677,907.75/16,823.09
  6. Step 6: Final answer
    x = 13,949.75

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1.5x scale

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.