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Finding the Fourth Proportional to 18,357.24, 25,328.82 and 10,397.64

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Solution

The fourth proportional to 18,357.24, 25,328.82 and 10,397.64 is: 14,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,357.24 : 25,328.82 = 10,397.64 : x
  2. Step 2: Convert to fraction form
    18,357.24/25,328.82 = 10,397.64/x
  3. Step 3: Cross multiply
    18,357.24x = 25,328.82 × 10,397.64
  4. Step 4: Simplify right side
    18,357.24x = 263,359,951.98
  5. Step 5: Solve for x
    x = 263,359,951.98/18,357.24
  6. Step 6: Final answer
    x = 14,346.38

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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.