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Finding the Fourth Proportional to 17,664, 26,461.37 and 10,252.92

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Solution

The fourth proportional to 17,664, 26,461.37 and 10,252.92 is: 15,359.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,664 : 26,461.37 = 10,252.92 : x
  2. Step 2: Convert to fraction form
    17,664/26,461.37 = 10,252.92/x
  3. Step 3: Cross multiply
    17,664x = 26,461.37 × 10,252.92
  4. Step 4: Simplify right side
    17,664x = 271,306,309.70
  5. Step 5: Solve for x
    x = 271,306,309.70/17,664
  6. Step 6: Final answer
    x = 15,359.28

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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.