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Finding the Fourth Proportional to 17,704.14, 24,431.14 and 10,047.22

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Solution

The fourth proportional to 17,704.14, 24,431.14 and 10,047.22 is: 13,864.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704.14 : 24,431.14 = 10,047.22 : x
  2. Step 2: Convert to fraction form
    17,704.14/24,431.14 = 10,047.22/x
  3. Step 3: Cross multiply
    17,704.14x = 24,431.14 × 10,047.22
  4. Step 4: Simplify right side
    17,704.14x = 245,465,038.43
  5. Step 5: Solve for x
    x = 245,465,038.43/17,704.14
  6. Step 6: Final answer
    x = 13,864.84

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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.