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Finding the Fourth Proportional to 16,969.14, 23,414.84 and 9,700.70

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Solution

The fourth proportional to 16,969.14, 23,414.84 and 9,700.70 is: 13,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,969.14 : 23,414.84 = 9,700.70 : x
  2. Step 2: Convert to fraction form
    16,969.14/23,414.84 = 9,700.70/x
  3. Step 3: Cross multiply
    16,969.14x = 23,414.84 × 9,700.70
  4. Step 4: Simplify right side
    16,969.14x = 227,140,338.39
  5. Step 5: Solve for x
    x = 227,140,338.39/16,969.14
  6. Step 6: Final answer
    x = 13,385.49

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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.