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Finding the Fourth Proportional to 25,141.62, 37,712.39 and 6,421.67

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Solution

The fourth proportional to 25,141.62, 37,712.39 and 6,421.67 is: 9,632.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,141.62 : 37,712.39 = 6,421.67 : x
  2. Step 2: Convert to fraction form
    25,141.62/37,712.39 = 6,421.67/x
  3. Step 3: Cross multiply
    25,141.62x = 37,712.39 × 6,421.67
  4. Step 4: Simplify right side
    25,141.62x = 242,176,609.75
  5. Step 5: Solve for x
    x = 242,176,609.75/25,141.62
  6. Step 6: Final answer
    x = 9,632.50

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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.