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Finding the Fourth Proportional to 19,638.57, 29,442.34 and 9,772.47

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Solution

The fourth proportional to 19,638.57, 29,442.34 and 9,772.47 is: 14,650.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,638.57 : 29,442.34 = 9,772.47 : x
  2. Step 2: Convert to fraction form
    19,638.57/29,442.34 = 9,772.47/x
  3. Step 3: Cross multiply
    19,638.57x = 29,442.34 × 9,772.47
  4. Step 4: Simplify right side
    19,638.57x = 287,724,384.38
  5. Step 5: Solve for x
    x = 287,724,384.38/19,638.57
  6. Step 6: Final answer
    x = 14,650.98

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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.