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Finding the Fourth Proportional to 19,628.64, 29,434.32 and 7,308

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Solution

The fourth proportional to 19,628.64, 29,434.32 and 7,308 is: 10,958.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,628.64 : 29,434.32 = 7,308 : x
  2. Step 2: Convert to fraction form
    19,628.64/29,434.32 = 7,308/x
  3. Step 3: Cross multiply
    19,628.64x = 29,434.32 × 7,308
  4. Step 4: Simplify right side
    19,628.64x = 215,106,010.56
  5. Step 5: Solve for x
    x = 215,106,010.56/19,628.64
  6. Step 6: Final answer
    x = 10,958.78

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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.