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Finding the Fourth Proportional to 14,869.89, 20,513.38 and 8,900.41

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Solution

The fourth proportional to 14,869.89, 20,513.38 and 8,900.41 is: 12,278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,869.89 : 20,513.38 = 8,900.41 : x
  2. Step 2: Convert to fraction form
    14,869.89/20,513.38 = 8,900.41/x
  3. Step 3: Cross multiply
    14,869.89x = 20,513.38 × 8,900.41
  4. Step 4: Simplify right side
    14,869.89x = 182,577,391.38
  5. Step 5: Solve for x
    x = 182,577,391.38/14,869.89
  6. Step 6: Final answer
    x = 12,278.33

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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.