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Finding the Fourth Proportional to 12,605.76, 18,909.76 and 3,841.60

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Solution

The fourth proportional to 12,605.76, 18,909.76 and 3,841.60 is: 5,762.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,605.76 : 18,909.76 = 3,841.60 : x
  2. Step 2: Convert to fraction form
    12,605.76/18,909.76 = 3,841.60/x
  3. Step 3: Cross multiply
    12,605.76x = 18,909.76 × 3,841.60
  4. Step 4: Simplify right side
    12,605.76x = 72,643,734.02
  5. Step 5: Solve for x
    x = 72,643,734.02/12,605.76
  6. Step 6: Final answer
    x = 5,762.74

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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.