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Finding the Fourth Proportional to 16,980.40, 23,455.38 and 14,157.01

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Solution

The fourth proportional to 16,980.40, 23,455.38 and 14,157.01 is: 19,555.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,980.40 : 23,455.38 = 14,157.01 : x
  2. Step 2: Convert to fraction form
    16,980.40/23,455.38 = 14,157.01/x
  3. Step 3: Cross multiply
    16,980.40x = 23,455.38 × 14,157.01
  4. Step 4: Simplify right side
    16,980.40x = 332,058,049.21
  5. Step 5: Solve for x
    x = 332,058,049.21/16,980.40
  6. Step 6: Final answer
    x = 19,555.37

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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.