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Finding the Fourth Proportional to 16,564.37, 22,857.66 and 9,010.58

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Solution

The fourth proportional to 16,564.37, 22,857.66 and 9,010.58 is: 12,433.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.37 : 22,857.66 = 9,010.58 : x
  2. Step 2: Convert to fraction form
    16,564.37/22,857.66 = 9,010.58/x
  3. Step 3: Cross multiply
    16,564.37x = 22,857.66 × 9,010.58
  4. Step 4: Simplify right side
    16,564.37x = 205,960,659.75
  5. Step 5: Solve for x
    x = 205,960,659.75/16,564.37
  6. Step 6: Final answer
    x = 12,433.96

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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.