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Finding the Fourth Proportional to 19,624.56, 29,437.64 and 9,229.04

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Solution

The fourth proportional to 19,624.56, 29,437.64 and 9,229.04 is: 13,843.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,624.56 : 29,437.64 = 9,229.04 : x
  2. Step 2: Convert to fraction form
    19,624.56/29,437.64 = 9,229.04/x
  3. Step 3: Cross multiply
    19,624.56x = 29,437.64 × 9,229.04
  4. Step 4: Simplify right side
    19,624.56x = 271,681,157.07
  5. Step 5: Solve for x
    x = 271,681,157.07/19,624.56
  6. Step 6: Final answer
    x = 13,843.94

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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.