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Finding the Fourth Proportional to 24,459.40, 36,684.32 and 7,814.96

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Solution

The fourth proportional to 24,459.40, 36,684.32 and 7,814.96 is: 11,720.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,459.40 : 36,684.32 = 7,814.96 : x
  2. Step 2: Convert to fraction form
    24,459.40/36,684.32 = 7,814.96/x
  3. Step 3: Cross multiply
    24,459.40x = 36,684.32 × 7,814.96
  4. Step 4: Simplify right side
    24,459.40x = 286,686,493.43
  5. Step 5: Solve for x
    x = 286,686,493.43/24,459.40
  6. Step 6: Final answer
    x = 11,720.91

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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.