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Finding the Fourth Proportional to 19,753.76, 29,627.42 and 9,224.87

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Solution

The fourth proportional to 19,753.76, 29,627.42 and 9,224.87 is: 13,835.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,753.76 : 29,627.42 = 9,224.87 : x
  2. Step 2: Convert to fraction form
    19,753.76/29,627.42 = 9,224.87/x
  3. Step 3: Cross multiply
    19,753.76x = 29,627.42 × 9,224.87
  4. Step 4: Simplify right side
    19,753.76x = 273,308,903.67
  5. Step 5: Solve for x
    x = 273,308,903.67/19,753.76
  6. Step 6: Final answer
    x = 13,835.79

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1.5x scale

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.