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Finding the Fourth Proportional to 15,800.31, 23,693.89 and 6,433.98

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Solution

The fourth proportional to 15,800.31, 23,693.89 and 6,433.98 is: 9,648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,800.31 : 23,693.89 = 6,433.98 : x
  2. Step 2: Convert to fraction form
    15,800.31/23,693.89 = 6,433.98/x
  3. Step 3: Cross multiply
    15,800.31x = 23,693.89 × 6,433.98
  4. Step 4: Simplify right side
    15,800.31x = 152,446,014.38
  5. Step 5: Solve for x
    x = 152,446,014.38/15,800.31
  6. Step 6: Final answer
    x = 9,648.29

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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.