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Finding the Fourth Proportional to 18,024.45, 24,874.14 and 9,958.10

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Solution

The fourth proportional to 18,024.45, 24,874.14 and 9,958.10 is: 13,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,024.45 : 24,874.14 = 9,958.10 : x
  2. Step 2: Convert to fraction form
    18,024.45/24,874.14 = 9,958.10/x
  3. Step 3: Cross multiply
    18,024.45x = 24,874.14 × 9,958.10
  4. Step 4: Simplify right side
    18,024.45x = 247,699,049.16
  5. Step 5: Solve for x
    x = 247,699,049.16/18,024.45
  6. Step 6: Final answer
    x = 13,742.39

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1.5x scale

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.