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Finding the Fourth Proportional to 19,644.94, 29,456.22 and 13,412.50

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Solution

The fourth proportional to 19,644.94, 29,456.22 and 13,412.50 is: 20,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644.94 : 29,456.22 = 13,412.50 : x
  2. Step 2: Convert to fraction form
    19,644.94/29,456.22 = 13,412.50/x
  3. Step 3: Cross multiply
    19,644.94x = 29,456.22 × 13,412.50
  4. Step 4: Simplify right side
    19,644.94x = 395,081,550.75
  5. Step 5: Solve for x
    x = 395,081,550.75/19,644.94
  6. Step 6: Final answer
    x = 20,111.11

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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.