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Finding the Fourth Proportional to 16,186.40, 24,290.40 and 9,166.40

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Solution

The fourth proportional to 16,186.40, 24,290.40 and 9,166.40 is: 13,755.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,186.40 : 24,290.40 = 9,166.40 : x
  2. Step 2: Convert to fraction form
    16,186.40/24,290.40 = 9,166.40/x
  3. Step 3: Cross multiply
    16,186.40x = 24,290.40 × 9,166.40
  4. Step 4: Simplify right side
    16,186.40x = 222,655,522.56
  5. Step 5: Solve for x
    x = 222,655,522.56/16,186.40
  6. Step 6: Final answer
    x = 13,755.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.