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Finding the Fourth Proportional to 16,224.84, 22,395.87 and 9,512.64

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Solution

The fourth proportional to 16,224.84, 22,395.87 and 9,512.64 is: 13,130.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.84 : 22,395.87 = 9,512.64 : x
  2. Step 2: Convert to fraction form
    16,224.84/22,395.87 = 9,512.64/x
  3. Step 3: Cross multiply
    16,224.84x = 22,395.87 × 9,512.64
  4. Step 4: Simplify right side
    16,224.84x = 213,043,848.80
  5. Step 5: Solve for x
    x = 213,043,848.80/16,224.84
  6. Step 6: Final answer
    x = 13,130.72

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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.