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Finding the Fourth Proportional to 16,964.16, 23,410.24 and 10,340.16

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Solution

The fourth proportional to 16,964.16, 23,410.24 and 10,340.16 is: 14,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,964.16 : 23,410.24 = 10,340.16 : x
  2. Step 2: Convert to fraction form
    16,964.16/23,410.24 = 10,340.16/x
  3. Step 3: Cross multiply
    16,964.16x = 23,410.24 × 10,340.16
  4. Step 4: Simplify right side
    16,964.16x = 242,065,627.24
  5. Step 5: Solve for x
    x = 242,065,627.24/16,964.16
  6. Step 6: Final answer
    x = 14,269.24

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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.