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Finding the Fourth Proportional to 16,434.50, 24,655.39 and 7,664.63

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Solution

The fourth proportional to 16,434.50, 24,655.39 and 7,664.63 is: 11,498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,434.50 : 24,655.39 = 7,664.63 : x
  2. Step 2: Convert to fraction form
    16,434.50/24,655.39 = 7,664.63/x
  3. Step 3: Cross multiply
    16,434.50x = 24,655.39 × 7,664.63
  4. Step 4: Simplify right side
    16,434.50x = 188,974,299.42
  5. Step 5: Solve for x
    x = 188,974,299.42/16,434.50
  6. Step 6: Final answer
    x = 11,498.64

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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.