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Finding the Fourth Proportional to 16,999.40, 23,461 and 10,288.72

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Solution

The fourth proportional to 16,999.40, 23,461 and 10,288.72 is: 14,199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,999.40 : 23,461 = 10,288.72 : x
  2. Step 2: Convert to fraction form
    16,999.40/23,461 = 10,288.72/x
  3. Step 3: Cross multiply
    16,999.40x = 23,461 × 10,288.72
  4. Step 4: Simplify right side
    16,999.40x = 241,383,659.92
  5. Step 5: Solve for x
    x = 241,383,659.92/16,999.40
  6. Step 6: Final answer
    x = 14,199.54

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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.