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Finding the Fourth Proportional to 21,181.59, 31,755.78 and 13,374

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Solution

The fourth proportional to 21,181.59, 31,755.78 and 13,374 is: 20,050.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,181.59 : 31,755.78 = 13,374 : x
  2. Step 2: Convert to fraction form
    21,181.59/31,755.78 = 13,374/x
  3. Step 3: Cross multiply
    21,181.59x = 31,755.78 × 13,374
  4. Step 4: Simplify right side
    21,181.59x = 424,701,801.72
  5. Step 5: Solve for x
    x = 424,701,801.72/21,181.59
  6. Step 6: Final answer
    x = 20,050.52

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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.