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Finding the Fourth Proportional to 16,857, 25,272.54 and 9,055.08

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Solution

The fourth proportional to 16,857, 25,272.54 and 9,055.08 is: 13,575.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,857 : 25,272.54 = 9,055.08 : x
  2. Step 2: Convert to fraction form
    16,857/25,272.54 = 9,055.08/x
  3. Step 3: Cross multiply
    16,857x = 25,272.54 × 9,055.08
  4. Step 4: Simplify right side
    16,857x = 228,844,871.50
  5. Step 5: Solve for x
    x = 228,844,871.50/16,857
  6. Step 6: Final answer
    x = 13,575.66

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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.