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Finding the Fourth Proportional to 17,950.16, 24,770.64 and 9,992.12

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Solution

The fourth proportional to 17,950.16, 24,770.64 and 9,992.12 is: 13,788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,950.16 : 24,770.64 = 9,992.12 : x
  2. Step 2: Convert to fraction form
    17,950.16/24,770.64 = 9,992.12/x
  3. Step 3: Cross multiply
    17,950.16x = 24,770.64 × 9,992.12
  4. Step 4: Simplify right side
    17,950.16x = 247,511,207.36
  5. Step 5: Solve for x
    x = 247,511,207.36/17,950.16
  6. Step 6: Final answer
    x = 13,788.80

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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.