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Finding the Fourth Proportional to 16,801.97, 23,186.53 and 9,248.14

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Solution

The fourth proportional to 16,801.97, 23,186.53 and 9,248.14 is: 12,762.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,801.97 : 23,186.53 = 9,248.14 : x
  2. Step 2: Convert to fraction form
    16,801.97/23,186.53 = 9,248.14/x
  3. Step 3: Cross multiply
    16,801.97x = 23,186.53 × 9,248.14
  4. Step 4: Simplify right side
    16,801.97x = 214,432,159.62
  5. Step 5: Solve for x
    x = 214,432,159.62/16,801.97
  6. Step 6: Final answer
    x = 12,762.33

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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.