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Finding the Fourth Proportional to 11,983.02, 16,542.42 and 9,288.16

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Solution

The fourth proportional to 11,983.02, 16,542.42 and 9,288.16 is: 12,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,983.02 : 16,542.42 = 9,288.16 : x
  2. Step 2: Convert to fraction form
    11,983.02/16,542.42 = 9,288.16/x
  3. Step 3: Cross multiply
    11,983.02x = 16,542.42 × 9,288.16
  4. Step 4: Simplify right side
    11,983.02x = 153,648,643.75
  5. Step 5: Solve for x
    x = 153,648,643.75/11,983.02
  6. Step 6: Final answer
    x = 12,822.20

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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.