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Finding the Fourth Proportional to 22,146.94, 30,553.77 and 14,193.82

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Solution

The fourth proportional to 22,146.94, 30,553.77 and 14,193.82 is: 19,581.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,146.94 : 30,553.77 = 14,193.82 : x
  2. Step 2: Convert to fraction form
    22,146.94/30,553.77 = 14,193.82/x
  3. Step 3: Cross multiply
    22,146.94x = 30,553.77 × 14,193.82
  4. Step 4: Simplify right side
    22,146.94x = 433,674,711.70
  5. Step 5: Solve for x
    x = 433,674,711.70/22,146.94
  6. Step 6: Final answer
    x = 19,581.70

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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.