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Finding the Fourth Proportional to 22,165.49, 33,210.65 and 13,381.96

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Solution

The fourth proportional to 22,165.49, 33,210.65 and 13,381.96 is: 20,050.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,165.49 : 33,210.65 = 13,381.96 : x
  2. Step 2: Convert to fraction form
    22,165.49/33,210.65 = 13,381.96/x
  3. Step 3: Cross multiply
    22,165.49x = 33,210.65 × 13,381.96
  4. Step 4: Simplify right side
    22,165.49x = 444,423,423.82
  5. Step 5: Solve for x
    x = 444,423,423.82/22,165.49
  6. Step 6: Final answer
    x = 20,050.24

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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.