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Finding the Fourth Proportional to 17,854.84, 26,775.42 and 6,164.92

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Solution

The fourth proportional to 17,854.84, 26,775.42 and 6,164.92 is: 9,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.84 : 26,775.42 = 6,164.92 : x
  2. Step 2: Convert to fraction form
    17,854.84/26,775.42 = 6,164.92/x
  3. Step 3: Cross multiply
    17,854.84x = 26,775.42 × 6,164.92
  4. Step 4: Simplify right side
    17,854.84x = 165,068,322.27
  5. Step 5: Solve for x
    x = 165,068,322.27/17,854.84
  6. Step 6: Final answer
    x = 9,245.02

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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.