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Finding the Fourth Proportional to 16,287, 22,476.18 and 8,835

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Solution

The fourth proportional to 16,287, 22,476.18 and 8,835 is: 12,192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287 : 22,476.18 = 8,835 : x
  2. Step 2: Convert to fraction form
    16,287/22,476.18 = 8,835/x
  3. Step 3: Cross multiply
    16,287x = 22,476.18 × 8,835
  4. Step 4: Simplify right side
    16,287x = 198,577,050.30
  5. Step 5: Solve for x
    x = 198,577,050.30/16,287
  6. Step 6: Final answer
    x = 12,192.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.