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Finding the Fourth Proportional to 14,342.85, 21,506.89 and 6,438.60

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Solution

The fourth proportional to 14,342.85, 21,506.89 and 6,438.60 is: 9,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342.85 : 21,506.89 = 6,438.60 : x
  2. Step 2: Convert to fraction form
    14,342.85/21,506.89 = 6,438.60/x
  3. Step 3: Cross multiply
    14,342.85x = 21,506.89 × 6,438.60
  4. Step 4: Simplify right side
    14,342.85x = 138,474,261.95
  5. Step 5: Solve for x
    x = 138,474,261.95/14,342.85
  6. Step 6: Final answer
    x = 9,654.58

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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.