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Finding the Fourth Proportional to 24,410.66, 36,619.63 and 7,765.76

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Solution

The fourth proportional to 24,410.66, 36,619.63 and 7,765.76 is: 11,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,410.66 : 36,619.63 = 7,765.76 : x
  2. Step 2: Convert to fraction form
    24,410.66/36,619.63 = 7,765.76/x
  3. Step 3: Cross multiply
    24,410.66x = 36,619.63 × 7,765.76
  4. Step 4: Simplify right side
    24,410.66x = 284,379,330.00
  5. Step 5: Solve for x
    x = 284,379,330.00/24,410.66
  6. Step 6: Final answer
    x = 11,649.80

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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.