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Finding the Fourth Proportional to 17,928.88, 24,706.92 and 13,457.68

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Solution

The fourth proportional to 17,928.88, 24,706.92 and 13,457.68 is: 18,545.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,928.88 : 24,706.92 = 13,457.68 : x
  2. Step 2: Convert to fraction form
    17,928.88/24,706.92 = 13,457.68/x
  3. Step 3: Cross multiply
    17,928.88x = 24,706.92 × 13,457.68
  4. Step 4: Simplify right side
    17,928.88x = 332,497,823.15
  5. Step 5: Solve for x
    x = 332,497,823.15/17,928.88
  6. Step 6: Final answer
    x = 18,545.38

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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.