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Finding the Fourth Proportional to 25,382.30, 38,051.54 and 12,216.56

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Solution

The fourth proportional to 25,382.30, 38,051.54 and 12,216.56 is: 18,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,382.30 : 38,051.54 = 12,216.56 : x
  2. Step 2: Convert to fraction form
    25,382.30/38,051.54 = 12,216.56/x
  3. Step 3: Cross multiply
    25,382.30x = 38,051.54 × 12,216.56
  4. Step 4: Simplify right side
    25,382.30x = 464,858,921.50
  5. Step 5: Solve for x
    x = 464,858,921.50/25,382.30
  6. Step 6: Final answer
    x = 18,314.29

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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.