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Finding the Fourth Proportional to 24,451.94, 36,679.87 and 7,814.34

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Solution

The fourth proportional to 24,451.94, 36,679.87 and 7,814.34 is: 11,722.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,451.94 : 36,679.87 = 7,814.34 : x
  2. Step 2: Convert to fraction form
    24,451.94/36,679.87 = 7,814.34/x
  3. Step 3: Cross multiply
    24,451.94x = 36,679.87 × 7,814.34
  4. Step 4: Simplify right side
    24,451.94x = 286,628,985.10
  5. Step 5: Solve for x
    x = 286,628,985.10/24,451.94
  6. Step 6: Final answer
    x = 11,722.14

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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.