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Finding the Fourth Proportional to 19,627.56, 29,416.38 and 9,225

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Solution

The fourth proportional to 19,627.56, 29,416.38 and 9,225 is: 13,825.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,627.56 : 29,416.38 = 9,225 : x
  2. Step 2: Convert to fraction form
    19,627.56/29,416.38 = 9,225/x
  3. Step 3: Cross multiply
    19,627.56x = 29,416.38 × 9,225
  4. Step 4: Simplify right side
    19,627.56x = 271,366,105.50
  5. Step 5: Solve for x
    x = 271,366,105.50/19,627.56
  6. Step 6: Final answer
    x = 13,825.77

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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.