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Finding the Fourth Proportional to 16,308.34, 24,464.56 and 5,775.90

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Solution

The fourth proportional to 16,308.34, 24,464.56 and 5,775.90 is: 8,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,308.34 : 24,464.56 = 5,775.90 : x
  2. Step 2: Convert to fraction form
    16,308.34/24,464.56 = 5,775.90/x
  3. Step 3: Cross multiply
    16,308.34x = 24,464.56 × 5,775.90
  4. Step 4: Simplify right side
    16,308.34x = 141,304,852.10
  5. Step 5: Solve for x
    x = 141,304,852.10/16,308.34
  6. Step 6: Final answer
    x = 8,664.58

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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.