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Finding the Fourth Proportional to 19,524.79, 29,287.17 and 7,838

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Solution

The fourth proportional to 19,524.79, 29,287.17 and 7,838 is: 11,757.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,524.79 : 29,287.17 = 7,838 : x
  2. Step 2: Convert to fraction form
    19,524.79/29,287.17 = 7,838/x
  3. Step 3: Cross multiply
    19,524.79x = 29,287.17 × 7,838
  4. Step 4: Simplify right side
    19,524.79x = 229,552,838.46
  5. Step 5: Solve for x
    x = 229,552,838.46/19,524.79
  6. Step 6: Final answer
    x = 11,757.00

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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.