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Finding the Fourth Proportional to 16,302.35, 24,449.01 and 5,770.98

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Solution

The fourth proportional to 16,302.35, 24,449.01 and 5,770.98 is: 8,654.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.35 : 24,449.01 = 5,770.98 : x
  2. Step 2: Convert to fraction form
    16,302.35/24,449.01 = 5,770.98/x
  3. Step 3: Cross multiply
    16,302.35x = 24,449.01 × 5,770.98
  4. Step 4: Simplify right side
    16,302.35x = 141,094,853.58
  5. Step 5: Solve for x
    x = 141,094,853.58/16,302.35
  6. Step 6: Final answer
    x = 8,654.88

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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.