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Finding the Fourth Proportional to 21,057.71, 29,057.43 and 12,106.50

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Solution

The fourth proportional to 21,057.71, 29,057.43 and 12,106.50 is: 16,705.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,057.71 : 29,057.43 = 12,106.50 : x
  2. Step 2: Convert to fraction form
    21,057.71/29,057.43 = 12,106.50/x
  3. Step 3: Cross multiply
    21,057.71x = 29,057.43 × 12,106.50
  4. Step 4: Simplify right side
    21,057.71x = 351,783,712.73
  5. Step 5: Solve for x
    x = 351,783,712.73/21,057.71
  6. Step 6: Final answer
    x = 16,705.70

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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.