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Finding the Fourth Proportional to 16,072.24, 22,180.10 and 9,000.16

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Solution

The fourth proportional to 16,072.24, 22,180.10 and 9,000.16 is: 12,420.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,072.24 : 22,180.10 = 9,000.16 : x
  2. Step 2: Convert to fraction form
    16,072.24/22,180.10 = 9,000.16/x
  3. Step 3: Cross multiply
    16,072.24x = 22,180.10 × 9,000.16
  4. Step 4: Simplify right side
    16,072.24x = 199,624,448.82
  5. Step 5: Solve for x
    x = 199,624,448.82/16,072.24
  6. Step 6: Final answer
    x = 12,420.45

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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.