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Finding the Fourth Proportional to 16,221.06, 22,385.07 and 9,505.35

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Solution

The fourth proportional to 16,221.06, 22,385.07 and 9,505.35 is: 13,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221.06 : 22,385.07 = 9,505.35 : x
  2. Step 2: Convert to fraction form
    16,221.06/22,385.07 = 9,505.35/x
  3. Step 3: Cross multiply
    16,221.06x = 22,385.07 × 9,505.35
  4. Step 4: Simplify right side
    16,221.06x = 212,777,813.20
  5. Step 5: Solve for x
    x = 212,777,813.20/16,221.06
  6. Step 6: Final answer
    x = 13,117.38

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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.