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Finding the Fourth Proportional to 12,281.80, 18,428.64 and 5,704.60

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Solution

The fourth proportional to 12,281.80, 18,428.64 and 5,704.60 is: 8,559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.80 : 18,428.64 = 5,704.60 : x
  2. Step 2: Convert to fraction form
    12,281.80/18,428.64 = 5,704.60/x
  3. Step 3: Cross multiply
    12,281.80x = 18,428.64 × 5,704.60
  4. Step 4: Simplify right side
    12,281.80x = 105,128,019.74
  5. Step 5: Solve for x
    x = 105,128,019.74/12,281.80
  6. Step 6: Final answer
    x = 8,559.66

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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.