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Finding the Fourth Proportional to 25,410.43, 38,119.34 and 7,881.67

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Solution

The fourth proportional to 25,410.43, 38,119.34 and 7,881.67 is: 11,823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,410.43 : 38,119.34 = 7,881.67 : x
  2. Step 2: Convert to fraction form
    25,410.43/38,119.34 = 7,881.67/x
  3. Step 3: Cross multiply
    25,410.43x = 38,119.34 × 7,881.67
  4. Step 4: Simplify right side
    25,410.43x = 300,444,058.50
  5. Step 5: Solve for x
    x = 300,444,058.50/25,410.43
  6. Step 6: Final answer
    x = 11,823.65

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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.