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Finding the Fourth Proportional to 21,666.42, 32,507.46 and 8,511.48

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Solution

The fourth proportional to 21,666.42, 32,507.46 and 8,511.48 is: 12,770.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,666.42 : 32,507.46 = 8,511.48 : x
  2. Step 2: Convert to fraction form
    21,666.42/32,507.46 = 8,511.48/x
  3. Step 3: Cross multiply
    21,666.42x = 32,507.46 × 8,511.48
  4. Step 4: Simplify right side
    21,666.42x = 276,686,595.64
  5. Step 5: Solve for x
    x = 276,686,595.64/21,666.42
  6. Step 6: Final answer
    x = 12,770.30

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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.