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Finding the Fourth Proportional to 21,781.54, 32,675.55 and 7,740.40

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Solution

The fourth proportional to 21,781.54, 32,675.55 and 7,740.40 is: 11,611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,781.54 : 32,675.55 = 7,740.40 : x
  2. Step 2: Convert to fraction form
    21,781.54/32,675.55 = 7,740.40/x
  3. Step 3: Cross multiply
    21,781.54x = 32,675.55 × 7,740.40
  4. Step 4: Simplify right side
    21,781.54x = 252,921,827.22
  5. Step 5: Solve for x
    x = 252,921,827.22/21,781.54
  6. Step 6: Final answer
    x = 11,611.75

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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.