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Finding the Fourth Proportional to 20,770.40, 31,162.89 and 12,970.10

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Solution

The fourth proportional to 20,770.40, 31,162.89 and 12,970.10 is: 19,459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,770.40 : 31,162.89 = 12,970.10 : x
  2. Step 2: Convert to fraction form
    20,770.40/31,162.89 = 12,970.10/x
  3. Step 3: Cross multiply
    20,770.40x = 31,162.89 × 12,970.10
  4. Step 4: Simplify right side
    20,770.40x = 404,185,926.13
  5. Step 5: Solve for x
    x = 404,185,926.13/20,770.40
  6. Step 6: Final answer
    x = 19,459.71

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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.