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Finding the Fourth Proportional to 12,623.30, 17,417.09 and 7,591.38

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Solution

The fourth proportional to 12,623.30, 17,417.09 and 7,591.38 is: 10,474.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,623.30 : 17,417.09 = 7,591.38 : x
  2. Step 2: Convert to fraction form
    12,623.30/17,417.09 = 7,591.38/x
  3. Step 3: Cross multiply
    12,623.30x = 17,417.09 × 7,591.38
  4. Step 4: Simplify right side
    12,623.30x = 132,219,748.68
  5. Step 5: Solve for x
    x = 132,219,748.68/12,623.30
  6. Step 6: Final answer
    x = 10,474.26

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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.