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Finding the Fourth Proportional to 14,770.31, 22,142.88 and 6,444.23

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Solution

The fourth proportional to 14,770.31, 22,142.88 and 6,444.23 is: 9,660.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,770.31 : 22,142.88 = 6,444.23 : x
  2. Step 2: Convert to fraction form
    14,770.31/22,142.88 = 6,444.23/x
  3. Step 3: Cross multiply
    14,770.31x = 22,142.88 × 6,444.23
  4. Step 4: Simplify right side
    14,770.31x = 142,693,700.87
  5. Step 5: Solve for x
    x = 142,693,700.87/14,770.31
  6. Step 6: Final answer
    x = 9,660.85

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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.