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Finding the Fourth Proportional to 25,536.75, 38,341 and 13,065.72

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Solution

The fourth proportional to 25,536.75, 38,341 and 13,065.72 is: 19,616.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,536.75 : 38,341 = 13,065.72 : x
  2. Step 2: Convert to fraction form
    25,536.75/38,341 = 13,065.72/x
  3. Step 3: Cross multiply
    25,536.75x = 38,341 × 13,065.72
  4. Step 4: Simplify right side
    25,536.75x = 500,952,770.52
  5. Step 5: Solve for x
    x = 500,952,770.52/25,536.75
  6. Step 6: Final answer
    x = 19,616.94

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