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Finding the Fourth Proportional to 19,585.45, 29,371.19 and 7,102.24

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Solution

The fourth proportional to 19,585.45, 29,371.19 and 7,102.24 is: 10,650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,585.45 : 29,371.19 = 7,102.24 : x
  2. Step 2: Convert to fraction form
    19,585.45/29,371.19 = 7,102.24/x
  3. Step 3: Cross multiply
    19,585.45x = 29,371.19 × 7,102.24
  4. Step 4: Simplify right side
    19,585.45x = 208,601,240.47
  5. Step 5: Solve for x
    x = 208,601,240.47/19,585.45
  6. Step 6: Final answer
    x = 10,650.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.