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Finding the Fourth Proportional to 16,415.86, 22,614.38 and 13,057.60

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Solution

The fourth proportional to 16,415.86, 22,614.38 and 13,057.60 is: 17,988.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415.86 : 22,614.38 = 13,057.60 : x
  2. Step 2: Convert to fraction form
    16,415.86/22,614.38 = 13,057.60/x
  3. Step 3: Cross multiply
    16,415.86x = 22,614.38 × 13,057.60
  4. Step 4: Simplify right side
    16,415.86x = 295,289,463
  5. Step 5: Solve for x
    x = 295,289,463/16,415.86
  6. Step 6: Final answer
    x = 17,988.06

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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.