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Finding the Fourth Proportional to 25,613.82, 38,416.41 and 7,141.50

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Solution

The fourth proportional to 25,613.82, 38,416.41 and 7,141.50 is: 10,711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,613.82 : 38,416.41 = 7,141.50 : x
  2. Step 2: Convert to fraction form
    25,613.82/38,416.41 = 7,141.50/x
  3. Step 3: Cross multiply
    25,613.82x = 38,416.41 × 7,141.50
  4. Step 4: Simplify right side
    25,613.82x = 274,350,792.02
  5. Step 5: Solve for x
    x = 274,350,792.02/25,613.82
  6. Step 6: Final answer
    x = 10,711.05

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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.