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Finding the Fourth Proportional to 16,680.72, 23,038.29 and 11,366.31

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Solution

The fourth proportional to 16,680.72, 23,038.29 and 11,366.31 is: 15,698.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,680.72 : 23,038.29 = 11,366.31 : x
  2. Step 2: Convert to fraction form
    16,680.72/23,038.29 = 11,366.31/x
  3. Step 3: Cross multiply
    16,680.72x = 23,038.29 × 11,366.31
  4. Step 4: Simplify right side
    16,680.72x = 261,860,346.01
  5. Step 5: Solve for x
    x = 261,860,346.01/16,680.72
  6. Step 6: Final answer
    x = 15,698.38

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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.