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Finding the Fourth Proportional to 19,863.96, 29,750.56 and 9,483

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Solution

The fourth proportional to 19,863.96, 29,750.56 and 9,483 is: 14,202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,863.96 : 29,750.56 = 9,483 : x
  2. Step 2: Convert to fraction form
    19,863.96/29,750.56 = 9,483/x
  3. Step 3: Cross multiply
    19,863.96x = 29,750.56 × 9,483
  4. Step 4: Simplify right side
    19,863.96x = 282,124,560.48
  5. Step 5: Solve for x
    x = 282,124,560.48/19,863.96
  6. Step 6: Final answer
    x = 14,202.84

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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.