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Finding the Fourth Proportional to 22,004.06, 33,013.64 and 6,423.98

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Solution

The fourth proportional to 22,004.06, 33,013.64 and 6,423.98 is: 9,638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,004.06 : 33,013.64 = 6,423.98 : x
  2. Step 2: Convert to fraction form
    22,004.06/33,013.64 = 6,423.98/x
  3. Step 3: Cross multiply
    22,004.06x = 33,013.64 × 6,423.98
  4. Step 4: Simplify right side
    22,004.06x = 212,078,814.08
  5. Step 5: Solve for x
    x = 212,078,814.08/22,004.06
  6. Step 6: Final answer
    x = 9,638.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.