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Finding the Fourth Proportional to 21,057.59, 29,059.47 and 12,106.85

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Solution

The fourth proportional to 21,057.59, 29,059.47 and 12,106.85 is: 16,707.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,057.59 : 29,059.47 = 12,106.85 : x
  2. Step 2: Convert to fraction form
    21,057.59/29,059.47 = 12,106.85/x
  3. Step 3: Cross multiply
    21,057.59x = 29,059.47 × 12,106.85
  4. Step 4: Simplify right side
    21,057.59x = 351,818,499.07
  5. Step 5: Solve for x
    x = 351,818,499.07/21,057.59
  6. Step 6: Final answer
    x = 16,707.44

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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.