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Finding the Fourth Proportional to 12,814.40, 19,221.60 and 4,503.80

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Solution

The fourth proportional to 12,814.40, 19,221.60 and 4,503.80 is: 6,755.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.40 : 19,221.60 = 4,503.80 : x
  2. Step 2: Convert to fraction form
    12,814.40/19,221.60 = 4,503.80/x
  3. Step 3: Cross multiply
    12,814.40x = 19,221.60 × 4,503.80
  4. Step 4: Simplify right side
    12,814.40x = 86,570,242.08
  5. Step 5: Solve for x
    x = 86,570,242.08/12,814.40
  6. Step 6: Final answer
    x = 6,755.70

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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.