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Finding the Fourth Proportional to 19,828.52, 29,706 and 14,194.56

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Solution

The fourth proportional to 19,828.52, 29,706 and 14,194.56 is: 21,265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828.52 : 29,706 = 14,194.56 : x
  2. Step 2: Convert to fraction form
    19,828.52/29,706 = 14,194.56/x
  3. Step 3: Cross multiply
    19,828.52x = 29,706 × 14,194.56
  4. Step 4: Simplify right side
    19,828.52x = 421,663,599.36
  5. Step 5: Solve for x
    x = 421,663,599.36/19,828.52
  6. Step 6: Final answer
    x = 21,265.51

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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.