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Finding the Fourth Proportional to 20,421, 30,625 and 6,566.76

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Solution

The fourth proportional to 20,421, 30,625 and 6,566.76 is: 9,848.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,421 : 30,625 = 6,566.76 : x
  2. Step 2: Convert to fraction form
    20,421/30,625 = 6,566.76/x
  3. Step 3: Cross multiply
    20,421x = 30,625 × 6,566.76
  4. Step 4: Simplify right side
    20,421x = 201,107,025
  5. Step 5: Solve for x
    x = 201,107,025/20,421
  6. Step 6: Final answer
    x = 9,848.05

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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.