Home / 17,537.28-24,208.16-10,824

Finding the Fourth Proportional to 17,537.28, 24,208.16 and 10,824

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Solution

The fourth proportional to 17,537.28, 24,208.16 and 10,824 is: 14,941.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.28 : 24,208.16 = 10,824 : x
  2. Step 2: Convert to fraction form
    17,537.28/24,208.16 = 10,824/x
  3. Step 3: Cross multiply
    17,537.28x = 24,208.16 × 10,824
  4. Step 4: Simplify right side
    17,537.28x = 262,029,123.84
  5. Step 5: Solve for x
    x = 262,029,123.84/17,537.28
  6. Step 6: Final answer
    x = 14,941.26

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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.