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Finding the Fourth Proportional to 21,138.59, 31,707.89 and 5,343.67

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Solution

The fourth proportional to 21,138.59, 31,707.89 and 5,343.67 is: 8,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,138.59 : 31,707.89 = 5,343.67 : x
  2. Step 2: Convert to fraction form
    21,138.59/31,707.89 = 5,343.67/x
  3. Step 3: Cross multiply
    21,138.59x = 31,707.89 × 5,343.67
  4. Step 4: Simplify right side
    21,138.59x = 169,436,315.30
  5. Step 5: Solve for x
    x = 169,436,315.30/21,138.59
  6. Step 6: Final answer
    x = 8,015.50

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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.