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Finding the Fourth Proportional to 17,340.64, 23,930.01 and 9,382.87

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Solution

The fourth proportional to 17,340.64, 23,930.01 and 9,382.87 is: 12,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,340.64 : 23,930.01 = 9,382.87 : x
  2. Step 2: Convert to fraction form
    17,340.64/23,930.01 = 9,382.87/x
  3. Step 3: Cross multiply
    17,340.64x = 23,930.01 × 9,382.87
  4. Step 4: Simplify right side
    17,340.64x = 224,532,172.93
  5. Step 5: Solve for x
    x = 224,532,172.93/17,340.64
  6. Step 6: Final answer
    x = 12,948.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.