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Finding the Fourth Proportional to 16,564.02, 22,857.54 and 9,009.96

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Solution

The fourth proportional to 16,564.02, 22,857.54 and 9,009.96 is: 12,433.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.02 : 22,857.54 = 9,009.96 : x
  2. Step 2: Convert to fraction form
    16,564.02/22,857.54 = 9,009.96/x
  3. Step 3: Cross multiply
    16,564.02x = 22,857.54 × 9,009.96
  4. Step 4: Simplify right side
    16,564.02x = 205,945,521.10
  5. Step 5: Solve for x
    x = 205,945,521.10/16,564.02
  6. Step 6: Final answer
    x = 12,433.31

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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.