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Finding the Fourth Proportional to 19,658.81, 29,467.00 and 9,651.92

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Solution

The fourth proportional to 19,658.81, 29,467.00 and 9,651.92 is: 14,467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658.81 : 29,467.00 = 9,651.92 : x
  2. Step 2: Convert to fraction form
    19,658.81/29,467.00 = 9,651.92/x
  3. Step 3: Cross multiply
    19,658.81x = 29,467.00 × 9,651.92
  4. Step 4: Simplify right side
    19,658.81x = 284,413,041.47
  5. Step 5: Solve for x
    x = 284,413,041.47/19,658.81
  6. Step 6: Final answer
    x = 14,467.46

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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.