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Finding the Fourth Proportional to 21,700.79, 32,540.42 and 6,907.79

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Solution

The fourth proportional to 21,700.79, 32,540.42 and 6,907.79 is: 10,358.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,700.79 : 32,540.42 = 6,907.79 : x
  2. Step 2: Convert to fraction form
    21,700.79/32,540.42 = 6,907.79/x
  3. Step 3: Cross multiply
    21,700.79x = 32,540.42 × 6,907.79
  4. Step 4: Simplify right side
    21,700.79x = 224,782,290.50
  5. Step 5: Solve for x
    x = 224,782,290.50/21,700.79
  6. Step 6: Final answer
    x = 10,358.25

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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.