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Finding the Fourth Proportional to 19,433, 29,154.42 and 5,582

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Solution

The fourth proportional to 19,433, 29,154.42 and 5,582 is: 8,374.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,433 : 29,154.42 = 5,582 : x
  2. Step 2: Convert to fraction form
    19,433/29,154.42 = 5,582/x
  3. Step 3: Cross multiply
    19,433x = 29,154.42 × 5,582
  4. Step 4: Simplify right side
    19,433x = 162,739,972.44
  5. Step 5: Solve for x
    x = 162,739,972.44/19,433
  6. Step 6: Final answer
    x = 8,374.41

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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.