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Finding the Fourth Proportional to 15,813.63, 23,701.92 and 6,447.80

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Solution

The fourth proportional to 15,813.63, 23,701.92 and 6,447.80 is: 9,664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.63 : 23,701.92 = 6,447.80 : x
  2. Step 2: Convert to fraction form
    15,813.63/23,701.92 = 6,447.80/x
  3. Step 3: Cross multiply
    15,813.63x = 23,701.92 × 6,447.80
  4. Step 4: Simplify right side
    15,813.63x = 152,825,274.85
  5. Step 5: Solve for x
    x = 152,825,274.85/15,813.63
  6. Step 6: Final answer
    x = 9,664.15

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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.