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Finding the Fourth Proportional to 18,437.80, 27,653.10 and 6,125.80

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Solution

The fourth proportional to 18,437.80, 27,653.10 and 6,125.80 is: 9,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,437.80 : 27,653.10 = 6,125.80 : x
  2. Step 2: Convert to fraction form
    18,437.80/27,653.10 = 6,125.80/x
  3. Step 3: Cross multiply
    18,437.80x = 27,653.10 × 6,125.80
  4. Step 4: Simplify right side
    18,437.80x = 169,397,359.98
  5. Step 5: Solve for x
    x = 169,397,359.98/18,437.80
  6. Step 6: Final answer
    x = 9,187.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.