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Finding the Fourth Proportional to 12,844.71, 17,725.64 and 7,465.23

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Solution

The fourth proportional to 12,844.71, 17,725.64 and 7,465.23 is: 10,301.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,844.71 : 17,725.64 = 7,465.23 : x
  2. Step 2: Convert to fraction form
    12,844.71/17,725.64 = 7,465.23/x
  3. Step 3: Cross multiply
    12,844.71x = 17,725.64 × 7,465.23
  4. Step 4: Simplify right side
    12,844.71x = 132,325,942.17
  5. Step 5: Solve for x
    x = 132,325,942.17/12,844.71
  6. Step 6: Final answer
    x = 10,301.98

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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.