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Finding the Fourth Proportional to 16,801.63, 23,186.27 and 9,349.63

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Solution

The fourth proportional to 16,801.63, 23,186.27 and 9,349.63 is: 12,902.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,801.63 : 23,186.27 = 9,349.63 : x
  2. Step 2: Convert to fraction form
    16,801.63/23,186.27 = 9,349.63/x
  3. Step 3: Cross multiply
    16,801.63x = 23,186.27 × 9,349.63
  4. Step 4: Simplify right side
    16,801.63x = 216,783,045.58
  5. Step 5: Solve for x
    x = 216,783,045.58/16,801.63
  6. Step 6: Final answer
    x = 12,902.50

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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.