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Finding the Fourth Proportional to 21,649.76, 29,877.26 and 13,149.93

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Solution

The fourth proportional to 21,649.76, 29,877.26 and 13,149.93 is: 18,147.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,649.76 : 29,877.26 = 13,149.93 : x
  2. Step 2: Convert to fraction form
    21,649.76/29,877.26 = 13,149.93/x
  3. Step 3: Cross multiply
    21,649.76x = 29,877.26 × 13,149.93
  4. Step 4: Simplify right side
    21,649.76x = 392,883,811.84
  5. Step 5: Solve for x
    x = 392,883,811.84/21,649.76
  6. Step 6: Final answer
    x = 18,147.26

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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.