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Finding the Fourth Proportional to 17,778.32, 26,648.34 and 9,449.94

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Solution

The fourth proportional to 17,778.32, 26,648.34 and 9,449.94 is: 14,164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.32 : 26,648.34 = 9,449.94 : x
  2. Step 2: Convert to fraction form
    17,778.32/26,648.34 = 9,449.94/x
  3. Step 3: Cross multiply
    17,778.32x = 26,648.34 × 9,449.94
  4. Step 4: Simplify right side
    17,778.32x = 251,825,214.10
  5. Step 5: Solve for x
    x = 251,825,214.10/17,778.32
  6. Step 6: Final answer
    x = 14,164.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.