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Finding the Fourth Proportional to 19,411.50, 29,128.54 and 8,166.02

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Solution

The fourth proportional to 19,411.50, 29,128.54 and 8,166.02 is: 12,253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,411.50 : 29,128.54 = 8,166.02 : x
  2. Step 2: Convert to fraction form
    19,411.50/29,128.54 = 8,166.02/x
  3. Step 3: Cross multiply
    19,411.50x = 29,128.54 × 8,166.02
  4. Step 4: Simplify right side
    19,411.50x = 237,864,240.21
  5. Step 5: Solve for x
    x = 237,864,240.21/19,411.50
  6. Step 6: Final answer
    x = 12,253.78

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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.