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Finding the Fourth Proportional to 27,162, 40,746.65 and 11,583.27

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Solution

The fourth proportional to 27,162, 40,746.65 and 11,583.27 is: 17,376.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,162 : 40,746.65 = 11,583.27 : x
  2. Step 2: Convert to fraction form
    27,162/40,746.65 = 11,583.27/x
  3. Step 3: Cross multiply
    27,162x = 40,746.65 × 11,583.27
  4. Step 4: Simplify right side
    27,162x = 471,979,390.63
  5. Step 5: Solve for x
    x = 471,979,390.63/27,162
  6. Step 6: Final answer
    x = 17,376.46

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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.