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Finding the Fourth Proportional to 19,798.64, 29,702.28 and 8,113.04

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Solution

The fourth proportional to 19,798.64, 29,702.28 and 8,113.04 is: 12,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,798.64 : 29,702.28 = 8,113.04 : x
  2. Step 2: Convert to fraction form
    19,798.64/29,702.28 = 8,113.04/x
  3. Step 3: Cross multiply
    19,798.64x = 29,702.28 × 8,113.04
  4. Step 4: Simplify right side
    19,798.64x = 240,975,785.73
  5. Step 5: Solve for x
    x = 240,975,785.73/19,798.64
  6. Step 6: Final answer
    x = 12,171.33

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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.