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Finding the Fourth Proportional to 19,773.54, 29,646.34 and 9,232.42

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Solution

The fourth proportional to 19,773.54, 29,646.34 and 9,232.42 is: 13,842.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,773.54 : 29,646.34 = 9,232.42 : x
  2. Step 2: Convert to fraction form
    19,773.54/29,646.34 = 9,232.42/x
  3. Step 3: Cross multiply
    19,773.54x = 29,646.34 × 9,232.42
  4. Step 4: Simplify right side
    19,773.54x = 273,707,462.34
  5. Step 5: Solve for x
    x = 273,707,462.34/19,773.54
  6. Step 6: Final answer
    x = 13,842.11

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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.