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Finding the Fourth Proportional to 13,592.83, 20,394.69 and 6,200.77

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Solution

The fourth proportional to 13,592.83, 20,394.69 and 6,200.77 is: 9,303.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,592.83 : 20,394.69 = 6,200.77 : x
  2. Step 2: Convert to fraction form
    13,592.83/20,394.69 = 6,200.77/x
  3. Step 3: Cross multiply
    13,592.83x = 20,394.69 × 6,200.77
  4. Step 4: Simplify right side
    13,592.83x = 126,462,781.91
  5. Step 5: Solve for x
    x = 126,462,781.91/13,592.83
  6. Step 6: Final answer
    x = 9,303.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.