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Finding the Fourth Proportional to 19,783.50, 29,659.77 and 10,411.26

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Solution

The fourth proportional to 19,783.50, 29,659.77 and 10,411.26 is: 15,608.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.50 : 29,659.77 = 10,411.26 : x
  2. Step 2: Convert to fraction form
    19,783.50/29,659.77 = 10,411.26/x
  3. Step 3: Cross multiply
    19,783.50x = 29,659.77 × 10,411.26
  4. Step 4: Simplify right side
    19,783.50x = 308,795,577.01
  5. Step 5: Solve for x
    x = 308,795,577.01/19,783.50
  6. Step 6: Final answer
    x = 15,608.74

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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.