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Finding the Fourth Proportional to 25,699.69, 38,541.27 and 8,165.42

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Solution

The fourth proportional to 25,699.69, 38,541.27 and 8,165.42 is: 12,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,699.69 : 38,541.27 = 8,165.42 : x
  2. Step 2: Convert to fraction form
    25,699.69/38,541.27 = 8,165.42/x
  3. Step 3: Cross multiply
    25,699.69x = 38,541.27 × 8,165.42
  4. Step 4: Simplify right side
    25,699.69x = 314,705,464.18
  5. Step 5: Solve for x
    x = 314,705,464.18/25,699.69
  6. Step 6: Final answer
    x = 12,245.50

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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.