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Finding the Fourth Proportional to 16,958.59, 23,402.86 and 9,406.08

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Solution

The fourth proportional to 16,958.59, 23,402.86 and 9,406.08 is: 12,980.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,958.59 : 23,402.86 = 9,406.08 : x
  2. Step 2: Convert to fraction form
    16,958.59/23,402.86 = 9,406.08/x
  3. Step 3: Cross multiply
    16,958.59x = 23,402.86 × 9,406.08
  4. Step 4: Simplify right side
    16,958.59x = 220,129,173.39
  5. Step 5: Solve for x
    x = 220,129,173.39/16,958.59
  6. Step 6: Final answer
    x = 12,980.39

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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.