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Finding the Fourth Proportional to 27,107.76, 40,653.34 and 9,573.48

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Solution

The fourth proportional to 27,107.76, 40,653.34 and 9,573.48 is: 14,357.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,107.76 : 40,653.34 = 9,573.48 : x
  2. Step 2: Convert to fraction form
    27,107.76/40,653.34 = 9,573.48/x
  3. Step 3: Cross multiply
    27,107.76x = 40,653.34 × 9,573.48
  4. Step 4: Simplify right side
    27,107.76x = 389,193,937.42
  5. Step 5: Solve for x
    x = 389,193,937.42/27,107.76
  6. Step 6: Final answer
    x = 14,357.29

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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.