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Finding the Fourth Proportional to 19,745.79, 29,614.31 and 5,702.76

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Solution

The fourth proportional to 19,745.79, 29,614.31 and 5,702.76 is: 8,552.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,745.79 : 29,614.31 = 5,702.76 : x
  2. Step 2: Convert to fraction form
    19,745.79/29,614.31 = 5,702.76/x
  3. Step 3: Cross multiply
    19,745.79x = 29,614.31 × 5,702.76
  4. Step 4: Simplify right side
    19,745.79x = 168,883,302.50
  5. Step 5: Solve for x
    x = 168,883,302.50/19,745.79
  6. Step 6: Final answer
    x = 8,552.88

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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.