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Finding the Fourth Proportional to 14,907.49, 20,572.71 and 8,193.29

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Solution

The fourth proportional to 14,907.49, 20,572.71 and 8,193.29 is: 11,306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,907.49 : 20,572.71 = 8,193.29 : x
  2. Step 2: Convert to fraction form
    14,907.49/20,572.71 = 8,193.29/x
  3. Step 3: Cross multiply
    14,907.49x = 20,572.71 × 8,193.29
  4. Step 4: Simplify right side
    14,907.49x = 168,558,076.25
  5. Step 5: Solve for x
    x = 168,558,076.25/14,907.49
  6. Step 6: Final answer
    x = 11,306.94

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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.