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Finding the Fourth Proportional to 14,534.34, 21,809.34 and 5,769.33

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Solution

The fourth proportional to 14,534.34, 21,809.34 and 5,769.33 is: 8,657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,534.34 : 21,809.34 = 5,769.33 : x
  2. Step 2: Convert to fraction form
    14,534.34/21,809.34 = 5,769.33/x
  3. Step 3: Cross multiply
    14,534.34x = 21,809.34 × 5,769.33
  4. Step 4: Simplify right side
    14,534.34x = 125,825,279.54
  5. Step 5: Solve for x
    x = 125,825,279.54/14,534.34
  6. Step 6: Final answer
    x = 8,657.10

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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.