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Finding the Fourth Proportional to 19,842.86, 29,764.47 and 5,051.80

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Solution

The fourth proportional to 19,842.86, 29,764.47 and 5,051.80 is: 7,577.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.86 : 29,764.47 = 5,051.80 : x
  2. Step 2: Convert to fraction form
    19,842.86/29,764.47 = 5,051.80/x
  3. Step 3: Cross multiply
    19,842.86x = 29,764.47 × 5,051.80
  4. Step 4: Simplify right side
    19,842.86x = 150,364,149.55
  5. Step 5: Solve for x
    x = 150,364,149.55/19,842.86
  6. Step 6: Final answer
    x = 7,577.75

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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.