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Finding the Fourth Proportional to 17,701.58, 24,428.67 and 9,744.30

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Solution

The fourth proportional to 17,701.58, 24,428.67 and 9,744.30 is: 13,447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,701.58 : 24,428.67 = 9,744.30 : x
  2. Step 2: Convert to fraction form
    17,701.58/24,428.67 = 9,744.30/x
  3. Step 3: Cross multiply
    17,701.58x = 24,428.67 × 9,744.30
  4. Step 4: Simplify right side
    17,701.58x = 238,040,289.08
  5. Step 5: Solve for x
    x = 238,040,289.08/17,701.58
  6. Step 6: Final answer
    x = 13,447.40

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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.