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Finding the Fourth Proportional to 12,605.68, 18,911.40 and 3,840.76

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Solution

The fourth proportional to 12,605.68, 18,911.40 and 3,840.76 is: 5,762.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,605.68 : 18,911.40 = 3,840.76 : x
  2. Step 2: Convert to fraction form
    12,605.68/18,911.40 = 3,840.76/x
  3. Step 3: Cross multiply
    12,605.68x = 18,911.40 × 3,840.76
  4. Step 4: Simplify right side
    12,605.68x = 72,634,148.66
  5. Step 5: Solve for x
    x = 72,634,148.66/12,605.68
  6. Step 6: Final answer
    x = 5,762.02

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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.