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Finding the Fourth Proportional to 13,262.94, 19,896.23 and 4,495.50

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Solution

The fourth proportional to 13,262.94, 19,896.23 and 4,495.50 is: 6,743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,262.94 : 19,896.23 = 4,495.50 : x
  2. Step 2: Convert to fraction form
    13,262.94/19,896.23 = 4,495.50/x
  3. Step 3: Cross multiply
    13,262.94x = 19,896.23 × 4,495.50
  4. Step 4: Simplify right side
    13,262.94x = 89,443,513.20
  5. Step 5: Solve for x
    x = 89,443,513.20/13,262.94
  6. Step 6: Final answer
    x = 6,743.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.