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Finding the Fourth Proportional to 19,770.34, 29,657.03 and 5,730.57

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Solution

The fourth proportional to 19,770.34, 29,657.03 and 5,730.57 is: 8,596.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,770.34 : 29,657.03 = 5,730.57 : x
  2. Step 2: Convert to fraction form
    19,770.34/29,657.03 = 5,730.57/x
  3. Step 3: Cross multiply
    19,770.34x = 29,657.03 × 5,730.57
  4. Step 4: Simplify right side
    19,770.34x = 169,951,686.41
  5. Step 5: Solve for x
    x = 169,951,686.41/19,770.34
  6. Step 6: Final answer
    x = 8,596.30

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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.