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Finding the Fourth Proportional to 21,652.86, 29,877.74 and 13,150.56

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Solution

The fourth proportional to 21,652.86, 29,877.74 and 13,150.56 is: 18,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,652.86 : 29,877.74 = 13,150.56 : x
  2. Step 2: Convert to fraction form
    21,652.86/29,877.74 = 13,150.56/x
  3. Step 3: Cross multiply
    21,652.86x = 29,877.74 × 13,150.56
  4. Step 4: Simplify right side
    21,652.86x = 392,909,012.53
  5. Step 5: Solve for x
    x = 392,909,012.53/21,652.86
  6. Step 6: Final answer
    x = 18,145.83

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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.