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Finding the Fourth Proportional to 18,205.29, 25,123.13 and 10,247.34

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Solution

The fourth proportional to 18,205.29, 25,123.13 and 10,247.34 is: 14,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.29 : 25,123.13 = 10,247.34 : x
  2. Step 2: Convert to fraction form
    18,205.29/25,123.13 = 10,247.34/x
  3. Step 3: Cross multiply
    18,205.29x = 25,123.13 × 10,247.34
  4. Step 4: Simplify right side
    18,205.29x = 257,445,336.38
  5. Step 5: Solve for x
    x = 257,445,336.38/18,205.29
  6. Step 6: Final answer
    x = 14,141.24

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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.