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Finding the Fourth Proportional to 16,828.75, 25,246.77 and 6,440.50

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Solution

The fourth proportional to 16,828.75, 25,246.77 and 6,440.50 is: 9,662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,828.75 : 25,246.77 = 6,440.50 : x
  2. Step 2: Convert to fraction form
    16,828.75/25,246.77 = 6,440.50/x
  3. Step 3: Cross multiply
    16,828.75x = 25,246.77 × 6,440.50
  4. Step 4: Simplify right side
    16,828.75x = 162,601,822.19
  5. Step 5: Solve for x
    x = 162,601,822.19/16,828.75
  6. Step 6: Final answer
    x = 9,662.14

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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.