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Finding the Fourth Proportional to 16,679.98, 23,038.59 and 13,189.42

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Solution

The fourth proportional to 16,679.98, 23,038.59 and 13,189.42 is: 18,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,679.98 : 23,038.59 = 13,189.42 : x
  2. Step 2: Convert to fraction form
    16,679.98/23,038.59 = 13,189.42/x
  3. Step 3: Cross multiply
    16,679.98x = 23,038.59 × 13,189.42
  4. Step 4: Simplify right side
    16,679.98x = 303,865,639.72
  5. Step 5: Solve for x
    x = 303,865,639.72/16,679.98
  6. Step 6: Final answer
    x = 18,217.39

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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.