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Finding the Fourth Proportional to 24,205.68, 33,403.86 and 13,596

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Solution

The fourth proportional to 24,205.68, 33,403.86 and 13,596 is: 18,762.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,205.68 : 33,403.86 = 13,596 : x
  2. Step 2: Convert to fraction form
    24,205.68/33,403.86 = 13,596/x
  3. Step 3: Cross multiply
    24,205.68x = 33,403.86 × 13,596
  4. Step 4: Simplify right side
    24,205.68x = 454,158,880.56
  5. Step 5: Solve for x
    x = 454,158,880.56/24,205.68
  6. Step 6: Final answer
    x = 18,762.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.