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Finding the Fourth Proportional to 21,009.90, 31,485.27 and 11,654.22

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Solution

The fourth proportional to 21,009.90, 31,485.27 and 11,654.22 is: 17,464.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,009.90 : 31,485.27 = 11,654.22 : x
  2. Step 2: Convert to fraction form
    21,009.90/31,485.27 = 11,654.22/x
  3. Step 3: Cross multiply
    21,009.90x = 31,485.27 × 11,654.22
  4. Step 4: Simplify right side
    21,009.90x = 366,936,263.34
  5. Step 5: Solve for x
    x = 366,936,263.34/21,009.90
  6. Step 6: Final answer
    x = 17,464.92

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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.