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Finding the Fourth Proportional to 18,137.56, 25,017.24 and 14,780.38

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Solution

The fourth proportional to 18,137.56, 25,017.24 and 14,780.38 is: 20,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,137.56 : 25,017.24 = 14,780.38 : x
  2. Step 2: Convert to fraction form
    18,137.56/25,017.24 = 14,780.38/x
  3. Step 3: Cross multiply
    18,137.56x = 25,017.24 × 14,780.38
  4. Step 4: Simplify right side
    18,137.56x = 369,764,313.75
  5. Step 5: Solve for x
    x = 369,764,313.75/18,137.56
  6. Step 6: Final answer
    x = 20,386.66

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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.