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Finding the Fourth Proportional to 19,543.78, 29,321.15 and 6,405.38

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Solution

The fourth proportional to 19,543.78, 29,321.15 and 6,405.38 is: 9,609.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,543.78 : 29,321.15 = 6,405.38 : x
  2. Step 2: Convert to fraction form
    19,543.78/29,321.15 = 6,405.38/x
  3. Step 3: Cross multiply
    19,543.78x = 29,321.15 × 6,405.38
  4. Step 4: Simplify right side
    19,543.78x = 187,813,075.76
  5. Step 5: Solve for x
    x = 187,813,075.76/19,543.78
  6. Step 6: Final answer
    x = 9,609.86

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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.