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Finding the Fourth Proportional to 21,654.61, 32,485.32 and 9,174.71

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Solution

The fourth proportional to 21,654.61, 32,485.32 and 9,174.71 is: 13,763.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,654.61 : 32,485.32 = 9,174.71 : x
  2. Step 2: Convert to fraction form
    21,654.61/32,485.32 = 9,174.71/x
  3. Step 3: Cross multiply
    21,654.61x = 32,485.32 × 9,174.71
  4. Step 4: Simplify right side
    21,654.61x = 298,043,471.47
  5. Step 5: Solve for x
    x = 298,043,471.47/21,654.61
  6. Step 6: Final answer
    x = 13,763.51

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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.