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Finding the Fourth Proportional to 27,290.91, 37,662 and 15,969.06

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Solution

The fourth proportional to 27,290.91, 37,662 and 15,969.06 is: 22,037.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,290.91 : 37,662 = 15,969.06 : x
  2. Step 2: Convert to fraction form
    27,290.91/37,662 = 15,969.06/x
  3. Step 3: Cross multiply
    27,290.91x = 37,662 × 15,969.06
  4. Step 4: Simplify right side
    27,290.91x = 601,426,737.72
  5. Step 5: Solve for x
    x = 601,426,737.72/27,290.91
  6. Step 6: Final answer
    x = 22,037.62

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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.