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Finding the Fourth Proportional to 21,700.84, 32,540.49 and 6,907.83

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Solution

The fourth proportional to 21,700.84, 32,540.49 and 6,907.83 is: 10,358.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,700.84 : 32,540.49 = 6,907.83 : x
  2. Step 2: Convert to fraction form
    21,700.84/32,540.49 = 6,907.83/x
  3. Step 3: Cross multiply
    21,700.84x = 32,540.49 × 6,907.83
  4. Step 4: Simplify right side
    21,700.84x = 224,784,301.54
  5. Step 5: Solve for x
    x = 224,784,301.54/21,700.84
  6. Step 6: Final answer
    x = 10,358.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.