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Finding the Fourth Proportional to 13,012.50, 19,521.21 and 5,221.92

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Solution

The fourth proportional to 13,012.50, 19,521.21 and 5,221.92 is: 7,833.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.50 : 19,521.21 = 5,221.92 : x
  2. Step 2: Convert to fraction form
    13,012.50/19,521.21 = 5,221.92/x
  3. Step 3: Cross multiply
    13,012.50x = 19,521.21 × 5,221.92
  4. Step 4: Simplify right side
    13,012.50x = 101,938,196.92
  5. Step 5: Solve for x
    x = 101,938,196.92/13,012.50
  6. Step 6: Final answer
    x = 7,833.87

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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.