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Finding the Fourth Proportional to 19,405.34, 29,109.84 and 5,364.80

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Solution

The fourth proportional to 19,405.34, 29,109.84 and 5,364.80 is: 8,047.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,405.34 : 29,109.84 = 5,364.80 : x
  2. Step 2: Convert to fraction form
    19,405.34/29,109.84 = 5,364.80/x
  3. Step 3: Cross multiply
    19,405.34x = 29,109.84 × 5,364.80
  4. Step 4: Simplify right side
    19,405.34x = 156,168,469.63
  5. Step 5: Solve for x
    x = 156,168,469.63/19,405.34
  6. Step 6: Final answer
    x = 8,047.71

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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.