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Finding the Fourth Proportional to 13,411.99, 20,111.24 and 4,644.55

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Solution

The fourth proportional to 13,411.99, 20,111.24 and 4,644.55 is: 6,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.99 : 20,111.24 = 4,644.55 : x
  2. Step 2: Convert to fraction form
    13,411.99/20,111.24 = 4,644.55/x
  3. Step 3: Cross multiply
    13,411.99x = 20,111.24 × 4,644.55
  4. Step 4: Simplify right side
    13,411.99x = 93,407,636.52
  5. Step 5: Solve for x
    x = 93,407,636.52/13,411.99
  6. Step 6: Final answer
    x = 6,964.49

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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.