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Finding the Fourth Proportional to 19,658.23, 29,487.20 and 11,762.93

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Solution

The fourth proportional to 19,658.23, 29,487.20 and 11,762.93 is: 17,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658.23 : 29,487.20 = 11,762.93 : x
  2. Step 2: Convert to fraction form
    19,658.23/29,487.20 = 11,762.93/x
  3. Step 3: Cross multiply
    19,658.23x = 29,487.20 × 11,762.93
  4. Step 4: Simplify right side
    19,658.23x = 346,855,869.50
  5. Step 5: Solve for x
    x = 346,855,869.50/19,658.23
  6. Step 6: Final answer
    x = 17,644.31

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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.