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Finding the Fourth Proportional to 16,222.91, 24,290.39 and 8,415.32

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Solution

The fourth proportional to 16,222.91, 24,290.39 and 8,415.32 is: 12,600.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.91 : 24,290.39 = 8,415.32 : x
  2. Step 2: Convert to fraction form
    16,222.91/24,290.39 = 8,415.32/x
  3. Step 3: Cross multiply
    16,222.91x = 24,290.39 × 8,415.32
  4. Step 4: Simplify right side
    16,222.91x = 204,411,384.51
  5. Step 5: Solve for x
    x = 204,411,384.51/16,222.91
  6. Step 6: Final answer
    x = 12,600.17

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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.