Home / 16,542-22,829.04-10,258.56

Finding the Fourth Proportional to 16,542, 22,829.04 and 10,258.56

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Solution

The fourth proportional to 16,542, 22,829.04 and 10,258.56 is: 14,157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542 : 22,829.04 = 10,258.56 : x
  2. Step 2: Convert to fraction form
    16,542/22,829.04 = 10,258.56/x
  3. Step 3: Cross multiply
    16,542x = 22,829.04 × 10,258.56
  4. Step 4: Simplify right side
    16,542x = 234,193,076.58
  5. Step 5: Solve for x
    x = 234,193,076.58/16,542
  6. Step 6: Final answer
    x = 14,157.48

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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.