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Finding the Fourth Proportional to 20,461.42, 30,698.61 and 7,313.50

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Solution

The fourth proportional to 20,461.42, 30,698.61 and 7,313.50 is: 10,972.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,461.42 : 30,698.61 = 7,313.50 : x
  2. Step 2: Convert to fraction form
    20,461.42/30,698.61 = 7,313.50/x
  3. Step 3: Cross multiply
    20,461.42x = 30,698.61 × 7,313.50
  4. Step 4: Simplify right side
    20,461.42x = 224,514,284.24
  5. Step 5: Solve for x
    x = 224,514,284.24/20,461.42
  6. Step 6: Final answer
    x = 10,972.57

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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.