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Finding the Fourth Proportional to 17,676.50, 24,394.14 and 9,719.30

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Solution

The fourth proportional to 17,676.50, 24,394.14 and 9,719.30 is: 13,412.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,676.50 : 24,394.14 = 9,719.30 : x
  2. Step 2: Convert to fraction form
    17,676.50/24,394.14 = 9,719.30/x
  3. Step 3: Cross multiply
    17,676.50x = 24,394.14 × 9,719.30
  4. Step 4: Simplify right side
    17,676.50x = 237,093,964.90
  5. Step 5: Solve for x
    x = 237,093,964.90/17,676.50
  6. Step 6: Final answer
    x = 13,412.95

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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.