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Finding the Fourth Proportional to 16,969.32, 23,415.78 and 9,415.40

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Solution

The fourth proportional to 16,969.32, 23,415.78 and 9,415.40 is: 12,992.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,969.32 : 23,415.78 = 9,415.40 : x
  2. Step 2: Convert to fraction form
    16,969.32/23,415.78 = 9,415.40/x
  3. Step 3: Cross multiply
    16,969.32x = 23,415.78 × 9,415.40
  4. Step 4: Simplify right side
    16,969.32x = 220,468,935.01
  5. Step 5: Solve for x
    x = 220,468,935.01/16,969.32
  6. Step 6: Final answer
    x = 12,992.21

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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.