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Finding the Fourth Proportional to 23,774.91, 32,809.37 and 13,164.54

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Solution

The fourth proportional to 23,774.91, 32,809.37 and 13,164.54 is: 18,167.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.91 : 32,809.37 = 13,164.54 : x
  2. Step 2: Convert to fraction form
    23,774.91/32,809.37 = 13,164.54/x
  3. Step 3: Cross multiply
    23,774.91x = 32,809.37 × 13,164.54
  4. Step 4: Simplify right side
    23,774.91x = 431,920,263.74
  5. Step 5: Solve for x
    x = 431,920,263.74/23,774.91
  6. Step 6: Final answer
    x = 18,167.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.