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Finding the Fourth Proportional to 12,835.36, 17,713.24 and 7,246.72

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Solution

The fourth proportional to 12,835.36, 17,713.24 and 7,246.72 is: 10,000.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.36 : 17,713.24 = 7,246.72 : x
  2. Step 2: Convert to fraction form
    12,835.36/17,713.24 = 7,246.72/x
  3. Step 3: Cross multiply
    12,835.36x = 17,713.24 × 7,246.72
  4. Step 4: Simplify right side
    12,835.36x = 128,362,890.57
  5. Step 5: Solve for x
    x = 128,362,890.57/12,835.36
  6. Step 6: Final answer
    x = 10,000.72

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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.