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Finding the Fourth Proportional to 19,777.86, 29,673 and 8,693.87

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Solution

The fourth proportional to 19,777.86, 29,673 and 8,693.87 is: 13,043.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777.86 : 29,673 = 8,693.87 : x
  2. Step 2: Convert to fraction form
    19,777.86/29,673 = 8,693.87/x
  3. Step 3: Cross multiply
    19,777.86x = 29,673 × 8,693.87
  4. Step 4: Simplify right side
    19,777.86x = 257,973,056.15
  5. Step 5: Solve for x
    x = 257,973,056.15/19,777.86
  6. Step 6: Final answer
    x = 13,043.53

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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.