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Finding the Fourth Proportional to 16,940.80, 23,378.24 and 9,488.64

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Solution

The fourth proportional to 16,940.80, 23,378.24 and 9,488.64 is: 13,094.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,940.80 : 23,378.24 = 9,488.64 : x
  2. Step 2: Convert to fraction form
    16,940.80/23,378.24 = 9,488.64/x
  3. Step 3: Cross multiply
    16,940.80x = 23,378.24 × 9,488.64
  4. Step 4: Simplify right side
    16,940.80x = 221,827,703.19
  5. Step 5: Solve for x
    x = 221,827,703.19/16,940.80
  6. Step 6: Final answer
    x = 13,094.29

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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.