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Finding the Fourth Proportional to 13,842.42, 20,770.92 and 6,056.70

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Solution

The fourth proportional to 13,842.42, 20,770.92 and 6,056.70 is: 9,088.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.42 : 20,770.92 = 6,056.70 : x
  2. Step 2: Convert to fraction form
    13,842.42/20,770.92 = 6,056.70/x
  3. Step 3: Cross multiply
    13,842.42x = 20,770.92 × 6,056.70
  4. Step 4: Simplify right side
    13,842.42x = 125,803,231.16
  5. Step 5: Solve for x
    x = 125,803,231.16/13,842.42
  6. Step 6: Final answer
    x = 9,088.24

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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.