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Finding the Fourth Proportional to 16,826.30, 25,237.44 and 6,964.40

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Solution

The fourth proportional to 16,826.30, 25,237.44 and 6,964.40 is: 10,445.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,826.30 : 25,237.44 = 6,964.40 : x
  2. Step 2: Convert to fraction form
    16,826.30/25,237.44 = 6,964.40/x
  3. Step 3: Cross multiply
    16,826.30x = 25,237.44 × 6,964.40
  4. Step 4: Simplify right side
    16,826.30x = 175,763,627.14
  5. Step 5: Solve for x
    x = 175,763,627.14/16,826.30
  6. Step 6: Final answer
    x = 10,445.77

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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.