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Finding the Fourth Proportional to 25,566, 38,324.52 and 13,081.20

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Solution

The fourth proportional to 25,566, 38,324.52 and 13,081.20 is: 19,609.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,566 : 38,324.52 = 13,081.20 : x
  2. Step 2: Convert to fraction form
    25,566/38,324.52 = 13,081.20/x
  3. Step 3: Cross multiply
    25,566x = 38,324.52 × 13,081.20
  4. Step 4: Simplify right side
    25,566x = 501,330,711.02
  5. Step 5: Solve for x
    x = 501,330,711.02/25,566
  6. Step 6: Final answer
    x = 19,609.27

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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.