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Finding the Fourth Proportional to 17,854.95, 26,782.63 and 6,165.44

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Solution

The fourth proportional to 17,854.95, 26,782.63 and 6,165.44 is: 9,248.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.95 : 26,782.63 = 6,165.44 : x
  2. Step 2: Convert to fraction form
    17,854.95/26,782.63 = 6,165.44/x
  3. Step 3: Cross multiply
    17,854.95x = 26,782.63 × 6,165.44
  4. Step 4: Simplify right side
    17,854.95x = 165,126,698.31
  5. Step 5: Solve for x
    x = 165,126,698.31/17,854.95
  6. Step 6: Final answer
    x = 9,248.23

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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.