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Finding the Fourth Proportional to 21,057.96, 29,053.40 and 12,102.18

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Solution

The fourth proportional to 21,057.96, 29,053.40 and 12,102.18 is: 16,697.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,057.96 : 29,053.40 = 12,102.18 : x
  2. Step 2: Convert to fraction form
    21,057.96/29,053.40 = 12,102.18/x
  3. Step 3: Cross multiply
    21,057.96x = 29,053.40 × 12,102.18
  4. Step 4: Simplify right side
    21,057.96x = 351,609,476.41
  5. Step 5: Solve for x
    x = 351,609,476.41/21,057.96
  6. Step 6: Final answer
    x = 16,697.22

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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.