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Finding the Fourth Proportional to 16,187.52, 24,264 and 11,556.48

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Solution

The fourth proportional to 16,187.52, 24,264 and 11,556.48 is: 17,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,187.52 : 24,264 = 11,556.48 : x
  2. Step 2: Convert to fraction form
    16,187.52/24,264 = 11,556.48/x
  3. Step 3: Cross multiply
    16,187.52x = 24,264 × 11,556.48
  4. Step 4: Simplify right side
    16,187.52x = 280,406,430.72
  5. Step 5: Solve for x
    x = 280,406,430.72/16,187.52
  6. Step 6: Final answer
    x = 17,322.38

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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.