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Finding the Fourth Proportional to 21,564.96, 29,759.34 and 12,133.50

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Solution

The fourth proportional to 21,564.96, 29,759.34 and 12,133.50 is: 16,744.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,564.96 : 29,759.34 = 12,133.50 : x
  2. Step 2: Convert to fraction form
    21,564.96/29,759.34 = 12,133.50/x
  3. Step 3: Cross multiply
    21,564.96x = 29,759.34 × 12,133.50
  4. Step 4: Simplify right side
    21,564.96x = 361,084,951.89
  5. Step 5: Solve for x
    x = 361,084,951.89/21,564.96
  6. Step 6: Final answer
    x = 16,744.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.