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Finding the Fourth Proportional to 23,814.74, 35,721.74 and 5,803.17

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Solution

The fourth proportional to 23,814.74, 35,721.74 and 5,803.17 is: 8,704.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,814.74 : 35,721.74 = 5,803.17 : x
  2. Step 2: Convert to fraction form
    23,814.74/35,721.74 = 5,803.17/x
  3. Step 3: Cross multiply
    23,814.74x = 35,721.74 × 5,803.17
  4. Step 4: Simplify right side
    23,814.74x = 207,299,300.90
  5. Step 5: Solve for x
    x = 207,299,300.90/23,814.74
  6. Step 6: Final answer
    x = 8,704.67

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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.