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Finding the Fourth Proportional to 25,496.34, 35,161.59 and 16,878.88

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Solution

The fourth proportional to 25,496.34, 35,161.59 and 16,878.88 is: 23,277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,496.34 : 35,161.59 = 16,878.88 : x
  2. Step 2: Convert to fraction form
    25,496.34/35,161.59 = 16,878.88/x
  3. Step 3: Cross multiply
    25,496.34x = 35,161.59 × 16,878.88
  4. Step 4: Simplify right side
    25,496.34x = 593,488,258.22
  5. Step 5: Solve for x
    x = 593,488,258.22/25,496.34
  6. Step 6: Final answer
    x = 23,277.39

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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.