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Finding the Fourth Proportional to 12,644.99, 17,451.15 and 7,339.46

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Solution

The fourth proportional to 12,644.99, 17,451.15 and 7,339.46 is: 10,129.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.99 : 17,451.15 = 7,339.46 : x
  2. Step 2: Convert to fraction form
    12,644.99/17,451.15 = 7,339.46/x
  3. Step 3: Cross multiply
    12,644.99x = 17,451.15 × 7,339.46
  4. Step 4: Simplify right side
    12,644.99x = 128,082,017.38
  5. Step 5: Solve for x
    x = 128,082,017.38/12,644.99
  6. Step 6: Final answer
    x = 10,129.07

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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.