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Finding the Fourth Proportional to 21,142, 29,175.96 and 11,711.98

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Solution

The fourth proportional to 21,142, 29,175.96 and 11,711.98 is: 16,162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142 : 29,175.96 = 11,711.98 : x
  2. Step 2: Convert to fraction form
    21,142/29,175.96 = 11,711.98/x
  3. Step 3: Cross multiply
    21,142x = 29,175.96 × 11,711.98
  4. Step 4: Simplify right side
    21,142x = 341,708,260.00
  5. Step 5: Solve for x
    x = 341,708,260.00/21,142
  6. Step 6: Final answer
    x = 16,162.53

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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.