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Finding the Fourth Proportional to 23,884.58, 35,832.99 and 16,878.50

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Solution

The fourth proportional to 23,884.58, 35,832.99 and 16,878.50 is: 25,322.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884.58 : 35,832.99 = 16,878.50 : x
  2. Step 2: Convert to fraction form
    23,884.58/35,832.99 = 16,878.50/x
  3. Step 3: Cross multiply
    23,884.58x = 35,832.99 × 16,878.50
  4. Step 4: Simplify right side
    23,884.58x = 604,807,121.72
  5. Step 5: Solve for x
    x = 604,807,121.72/23,884.58
  6. Step 6: Final answer
    x = 25,322.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.