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Finding the Fourth Proportional to 20,710.80, 31,066.20 and 12,416.40

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Solution

The fourth proportional to 20,710.80, 31,066.20 and 12,416.40 is: 18,624.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,710.80 : 31,066.20 = 12,416.40 : x
  2. Step 2: Convert to fraction form
    20,710.80/31,066.20 = 12,416.40/x
  3. Step 3: Cross multiply
    20,710.80x = 31,066.20 × 12,416.40
  4. Step 4: Simplify right side
    20,710.80x = 385,730,365.68
  5. Step 5: Solve for x
    x = 385,730,365.68/20,710.80
  6. Step 6: Final answer
    x = 18,624.60

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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.