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Finding the Fourth Proportional to 13,886.42, 20,829.63 and 6,095.30

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Solution

The fourth proportional to 13,886.42, 20,829.63 and 6,095.30 is: 9,142.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.42 : 20,829.63 = 6,095.30 : x
  2. Step 2: Convert to fraction form
    13,886.42/20,829.63 = 6,095.30/x
  3. Step 3: Cross multiply
    13,886.42x = 20,829.63 × 6,095.30
  4. Step 4: Simplify right side
    13,886.42x = 126,962,843.74
  5. Step 5: Solve for x
    x = 126,962,843.74/13,886.42
  6. Step 6: Final answer
    x = 9,142.95

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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.