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Finding the Fourth Proportional to 16,205.63, 24,308.44 and 5,261.63

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Solution

The fourth proportional to 16,205.63, 24,308.44 and 5,261.63 is: 7,892.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.63 : 24,308.44 = 5,261.63 : x
  2. Step 2: Convert to fraction form
    16,205.63/24,308.44 = 5,261.63/x
  3. Step 3: Cross multiply
    16,205.63x = 24,308.44 × 5,261.63
  4. Step 4: Simplify right side
    16,205.63x = 127,901,882.46
  5. Step 5: Solve for x
    x = 127,901,882.46/16,205.63
  6. Step 6: Final answer
    x = 7,892.44

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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.