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Finding the Fourth Proportional to 19,506.14, 29,261.64 and 6,354.98

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Solution

The fourth proportional to 19,506.14, 29,261.64 and 6,354.98 is: 9,533.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,506.14 : 29,261.64 = 6,354.98 : x
  2. Step 2: Convert to fraction form
    19,506.14/29,261.64 = 6,354.98/x
  3. Step 3: Cross multiply
    19,506.14x = 29,261.64 × 6,354.98
  4. Step 4: Simplify right side
    19,506.14x = 185,957,136.97
  5. Step 5: Solve for x
    x = 185,957,136.97/19,506.14
  6. Step 6: Final answer
    x = 9,533.26

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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.